Course Information
Math 4 Course Description
Algebraic expressions; linear, absolute value equations and inequalities; lines; systems of linear equations; integral exponents; polynomials; factoring. This course may not be used to satisfy the basic minimum requirements for graduation in any baccalaureate degree program.
Syllabus
 Spring 2020 MATH4 Syllabus  Muir
 Spring 2020 MATH 4 Syllabus  Speight
 Math 4 Learning Ojbectives
Math 017
Course Description
Finite math includes topics of mathematics which deal with finite sets. Sets and formal logic are modern concepts created by mathematicians in the mid 19th and early 20th centuries to provide a foundation for mathematical reasoning. Sets and formal logic have lead to profound mathematical discoveries and have helped to create the field of computer science in the 20th century. Today, sets and formal logic are taught as core concepts upon which all mathematics can be built.
In this course, students learn the elementary mathematics of logic and sets. Logic is the symbolic, algebraic way of representing and analyzing statements and sentences. While students will get just a brief introduction to logic, the mathematics used in logic are found at the heart of computer programming and in designing electrical circuits.
Problems of counting various kinds of sets lead to the study of combinatorics, the art of advanced counting. For example, if a room has twenty chairs and twelve people, in how many ways can these people occupy the chairs? And are you accounting for differences in who sits in particular chairs, or does it only matter whether a chair has a body in it? These kinds of counting problems are the basis for probability. In order to calculate the chance of a particular event occurring you must be able to count all the possible outcomes.
MATH 017 is intended for students seeking core knowledge in combinatorics, probability and mathematical logic but not requiring further course work in mathematics. Students entering the class will benefit from having some experience with basic algebra and solving word problems.
The course may be used to fulfill three credits of the quantification portion of the general education requirement for some majors, but does not serve as a prerequisite for any mathematics courses and should be treated as a terminal course.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
Syllabus
 Spring 2020 Math 17 Syllabus
 Math 017 Learning Objectives
Exams
 Sample Exams and Exam Information
 Evening Exam 1 Schedule
 Evening Exam 2 Schedule
 Final Exam Schedule
Additional Resources
 Practice Problems
Math 018 (3,GQ) Elementary Linear Algebra
Short Description
Matrices and vectors; transformations; systems of linear equations; convex sets and linear programming.
Long Description
Many problems we have to solve in daytoday practice require the simultaneous determination of several different but interrelated unknowns. Although many problems of this form have been studied throughout the long history of mathematics, only in the early 20thcentury did the systematic approach we now refer to as linear algebra emerge. Matrices and linear algebra are now accepted as the single most essential tool need for the solution of these problems.
In addition, linear algebra provides students their first introduction to the concept of dimension in an abstract setting where things with 4,5, or even more dimensions are often encountered.
In the simplest situations, many of these problems can be represented as A x = b, where x is our vector of unknowns, A is a matrix, and b is a vector of constants.
Math 018 is intended for students requiring some understanding of the concepts of linear algebra for their major, but not requiring any calculus course work. Students who are also required to take calculus course work should instead take Math 220 after completion of an appropriate prerequisite.
Syllabus
 Spring 2020 Math 18 Syllabus
 Spring 2020 Math 18 Schedule
Exams
 Exam 1 Sample A
 Exam 1 Sample B
 Exam 1 Sample C
 Exam 2 Sample A
 Exam 2 Sample B
Math 021
Course Description
MATH 021 serves as both a preparatory algebra course for some students and as a terminal course for others who only need this level of mathematics. MATH 021 bridges the gap between elementary algebra and courses in precalculus mathematics by developing student proficiency with the mechanics of basic algebra.
The course presents algebra concepts beginning with rational expressions, equations, and applications. Concepts of exponent and root are developed and merged, followed by the study of quadratic equations and inequalities. Coordinate geometry is introduced with linear equations, inequalities, systems, and their graphs, extending to an introduction of conic sections.
Students entering MATH 021 should be able to add, subtract, multiply, and divide whole numbers and fractions (rational numbers) and should have an understanding of basic algebra concepts like negative numbers, factoring quadratics, and solving linear equations.
This course may fulfill three credits of the quantification portion of the general education requirement for students in some majors. Students successfully completing MATH 021 may take MATH 022, MATH 026 or MATH 041.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus
Syllabus
 Spring 2020 Math 21 Syllabus
 Spring 2020 Math 21 Schedule
 Math 021 Learning Objectives
Notes
 Math 021 Class Notes
Exams
 Sample Exams and Exam Information
 Evening Exam 1 Schedule
 Evening Exam 2 Schedule
 Final Exam Schedule
Additional Resources
 MyMathLab Course IDs
 Getting Started with MyMathLab
Math 022
Course Description
College Algebra II represents a significant opportunity for students to discover the beauty and practical power of mathematics. Concepts and skills are taught while at the same time a sense of algebra's utility in the real world is imparted. This course provides indepth coverage of college algebra topics that students continuing in mathematics will require. This is the kind of mathematics that students will use the rest of their lives in many fields.
MATH 022 is a preparatory course intended to provide mathematical background in algebra with a function/graph emphasis required in calculus courses. Linear, polynomial, rational, exponential and logarithmic functions and their graphs provide necessary models for mathematical applications.
Students entering MATH 22 should be competent in operations (adding, subtracting, multiplying and dividing) with rational (fractional) expressions. Students should be able to solve linear and absolute value inequalities and be able to simplify rational expressions with exponents.
Students who understand the concepts of MATH 022 will have the basic algebra skills sufficient for taking Business Calculus, MATH 110. Students studying engineering or science may enroll in MATH 022 and MATH 026 concurrently as preparation for Calculus, MATH 140. Alternately, students may take MATH 041 which covers the content of both MATH 022 and MATH 026 in a single course.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
Syllabus
 Spring 2020 Math 22 Syllabus
 Spring 2020 Math 22 Schedule
 Math 22 Lab Schedule
 Math 022 Learning Objectives
Notes
 Math 022 Class Notes
Exams
 Sample Exams and Exam Information
 Evening Exam 1 Schedule
 Evening Exam 2 Schedule
 Final Exam Schedule
Additional Resources
 MyMathLab Course IDs
 Getting Started with MyMathLab
Math 026
Course Description
Trigonometry is a field of mathematics in which the geometric properties of the angles and edges of triangles are used to measure lengths. Realworld problems involving trigonometry are common in engineering, physics, construction and design.
This course is well suited for students who need sufficient mastery of trigonometry for use in fieldwork as well as those continuing on to engineering, kinesiology, surveying and physical sciences. Intermediate algebra skills are assumed. MATH 026 provides the trigonometry skills and concepts essential to success in calculus courses. Topics include righttriangle relationships, unit circle, sine, cosine, and tangent functions and their applications, inverse trigonometric functions, identities, and trigonometric form of complex numbers.
Students who enroll in MATH 026 often enroll concurrently in MATH 022, College Algebra II. Students who understand the material in MATH 026 and MATH 022 are fully prepared for the trigonometrybased calculus course MATH 140. Alternately, students may take MATH 041 which covers the content of both MATH 022 and MATH 026 in a single course.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
Syllabus
 Spring 2020 Math 26 Syllabus
 Spring 2020 Math 26 Schedule
 Math 026 Learning Objectives
Notes
 Math 026 Class Notes
Exams
 Sample Exams and Exam Information
 Evening Exam 2 Schedule
 Final Exam Schedule
Additional Resources
 MyMathLab Course IDs
 Getting Started with MyMathLab
Course Description
Mathematical analysis of sustainability: measurement, flows, networks, rates of change, uncertainty and risk, applying analysis in decision making; using quantitative evidence to support arguments; examples. MATH 033 Mathematics for Sustainability (3) (GQ) This course is one of several offered by the mathematics department with the goal of helping students from nontechnical majors partially satisfy their general education quantification requirement. It is designed to provide an introduction to various mathematical modeling techniques, with an emphasis on examples related to environmental and economic sustainability. The course may be used to fulfill three credits of the GQ requirement for some majors, but it does not serve as a prerequisite for any mathematics courses and should be treated as a terminal course. The course provides students with the mathematical background and quantitative reasoning skills necessary to engage as informed citizens in discussions of sustainability related to climate change, resources, pollution, recycling, economic change, and similar matters of public interest. Students apply these skills through writing projects that require quantitative evidence to support an argument. The mathematical content of the course spans six key areas: "measuring" (representing information by numbers, problems of measurement, units, estimation skills); "flowing" (building and analyzing stockflow models, calculations using units of energy and power, dynamic equilibria in stockflow systems, the energy balance of the earthsun system and the greenhouse effect); "connecting" (networks, the bystander effect, feedbacks in stockflow models); "changing" (outofequilibrium stockflow systems, exponential models, stability of equilibria in stockflow systems, sensitivity of equilibria to changes in a parameter, tipping points in stockflow models); "risking" (probability, expectation, bayesian inference, risk vs uncertainty; "deciding" (discounting, uses and limitations of costbenefit analysis, introduction to game theory and the tragedy of the commons, marketbased mechanisms for pollution abatement, ethical considerations).
RECOMMENDED PREPARATIONS: ENGL 15
Bachelor of Arts: Quantification
General Education: Quantification (GQ)
GenEd Learning Objective: Effective Communication
GenEd Learning Objective: Crit and Analytical Think
GenEd Learning Objective: Key Literacies
GenEd Learning Objective: Soc Resp and Ethic Reason
Syllabus
 MATH 33 Syllabus Spring 2020
Math 034
Course Description
The mathematics of money course allows students to learn mathematical techniques that aid in the understanding of life's financial decisions, such as those involving interest, annuities, investments, retirement plans, taxes, credit cards, and mortgages. The goal of this course is to help students develop the knowledge and skills needed to make sound financial decisions. The U.S. Department of Treasury has stated that "Today's complex financialservices market offers consumers a vast array of products and providers to meet their financial needs. This degree of choice requires that consumers be equipped with the knowledge and skills to evaluate the options and identify those that best suit their needs and circumstances." This course will help students obtain this knowledge and skills.
Some examples of the types of problems that students in this course learn to solve are:
 A person decides that the most they can afford to pay each month for a car loan is $375. If their credit union offers a fiveyear car loan at a 6 percent interest rate, what is the most they can afford to pay for a car?
 A person would like to have $1,000,000 in their 401(k) account in 30 years. How much money would they need to deposit into their account each month if they expect to earn 8 percent interest on their investments and anticipate an annual inflation rate of 3.5 percent?
 A credit card carries an interest rate of 18.5 percent. How much interest would a person owe for the billing month if their average daily balance was $745.09?
This course may be used to fulfill three credits of the quantification portion of the general education requirement for some majors, but does not serve as a prerequisite for any mathematics courses and should be treated as a terminal course.
Class size, frequency of offering and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
Syllabus
 MATH 34 Syllabus  Spring 2020
Exams
 Evening Exam 1 Schedule
Course Description
Syllabus
 Math 35 Syllabus  Fal 2018
Exams
 Even Exam Schedule
Additional Resources
Course Description
This course will provide students the mathematical background and quantitative skills in various mathematical applications in such areas which are related to voting, fair divisions which includes apportionment methods, and the understanding and application of basic graph theory such as Euler and Hamilton circuits. This course may be used by students from nontechnical majors to satisfy 3 credits of their General Education Quantification (GQ) requirement. This course does not serve as a prerequisite for any mathematics courses and should be treated as a terminal course.
Syllabus
 Math 36 Syllabus Spring 2020
Course Description
MATH 041 is a onesemester precalculus course, which combines the material from MATH 022 and MATH 026. Please refer to MATH 022 and MATH 026 descriptions.
Students who understand the material in MATH 041 are fully prepared for the trigonometrybased calculus course MATH 140. MATH 041 is not needed for Business Calculus MATH 110 as MATH 041 includes trigonometry topics not necessary in that course.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus
Syllabus
 Spring 2020 Math 41 Syllabus
 Spring 2020 Math 41 Schedule
 Math 41 Course Objectives
Notes
 Math 41 Class Notes
Exams
 Sample Exams and Information
 Evening Exam 1 Schedule
 Evening Exam 2 Schedule
 Final Exam Schedule
Additional Resources
 MyMathLab Course IDs
 Getting Started with MyMathLab
Course Description
TECHNIQUES OF CALCULUS I (4) Functions, graphs, derivatives, integrals, techniques of differentiation and integration, exponentials, improper integrals, applications. Students may take only one course for credit from MATH 110, 140, 140A, and 140B. Prerequisite: MATH 022 or satisfactory performance on the mathematics proficiency examination.
Syllabus
 Math 110 Syllabus  Spring 2020
Exams
 Sample Exam 1  Spring 2014
 Sample Exam 2  Spring 2014
 Sample Final Exam  Spring 2014
 Evening Exam 1 Schedule
 Evening Exam 2 Schedule
 Final Exam Schedule
Additional Resources
 WebAssign  Penn State Link
 Penn State Learning Course Packets
 Precalculus Review
 Limits & Continuity
 Derivatives
 Marginal Analysis & Elasticity
 Implicit Differentiation & Related Rates
 Curve Sketching
 Optimization
 Exponential & Logarithmic Functions
 Compound Interest
 Indefinite Integrals
 Definite Integrals
 Applications of Definite Integrals
 Integration by Parts & Improper Integrals
Course Description
Math 111 is the second course in a sequence of calculus content tailored primarily to firstyear business students with an emphasis on economics, business, and social science application. Although it provides standalone instruction in the core elements of differential and integral calculus, applications are chosen to dovetail with typical models discussed in firstyear finance, economics, and social science coursework.
Content discussed in Math 111 includes:
1.Functions of several variables and their realworld business applications
2.Partial derivatives, and their relevance to economics’applications
3.Maxima and Minima of Functions of Several Variables
4.Methods of Least Squares
5.Constrained Maxima and Minima and Lagrange Multiplier Techniques
6.Total differentials to approximate change or error
7.Double integrals and their applications to business models
8.Differential Equations and their application to business models
9.Solutions to Differential Equations using separation of variable techniques
10. Use Euler's method to approximate solutions to Differential Equations
Syllabus
 MATH 111 Syllabus  Spring 2020
Exams
 Evening Exam 1 Schedule
 Final Exam Schedule
MATH 140 is the first course in a twoor threecourse calculus sequence for students in science, engineering and related fields. Students enrolling in MATH 140 should have demonstrated.
proficiency in precalculus mathematics, either by a satisfactory score on the ALEKS exam, or satisfactory completion of MATH 022 (College Algebra II) AND MATH 026 (Trigonometry) OR MATH 041 (College Algebra and Trigonometry).
Calculus is an important building block in the education of any professional who uses quantitative analysis. This course introduces and develops the mathematical skills required for analyzing change and creating mathematical models that replicate reallife phenomena. The goals of our calculus courses include to develop the students' knowledge of calculus techniques and to use the calculus environment to develop critical thinking and problem solving skills.
The concept of limit is central to calculus; MATH 140 begins with a study of this concept. Differential calculus topics include derivatives and their applications to rates of change, related rates, linearization, optimization, and graphing techniques. The Fundamental Theorem of Calculus, relating differential and integral calculus begins the study of Integral Calculus. Antidifferentiation and the technique of substitution is used in integration applications of finding areas of plane figures and volumes of solids of revolution. Trigonometric functions are included in every topic.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
An honors version of this course is offered at least once per year.
Course Description
Calculus is an important building block in the education of any professional who uses quantitative analysis. This course introduces and develops the mathematical skills required for analyzing change and creating mathematical models that replicate reallife phenomena. The goals of our calculus courses include to develop the students' knowledge of calculus techniques and to use the calculus environment to develop critical thinking and problem solving skills. The concept of limit is central to calculus; MATH 140E begins with a study of this concept. Differential calculus topics include derivatives and their applications to rates of change, related rates, linearization, optimization, and graphing techniques. The Fundamental Theorem of Calculus, relating differential and integral calculus begins the study of Integral Calculus. Antidifferentiation and the technique of substitution is used in integration applications of finding areas of plane figures and volumes of solids of revolution. Trigonometric functions are included in every topic.
Enforced Prerequisite at Enrollment: Math 22 and Math 26 or Math 26 and satisfactory performance on the mathematics placement examination or Math 40 or Math 41 or satisfactory performance on the mathematics placement examination.
Bachelor of Arts: Quantification
General Education: Quantification (GQ)
GenEd Learning Objective: Crit and Analytical Think
GenEd Learning Objective: Key Literacies
Syllabus
 Math 140E Syllabus Spring 2019
Exams
 Evening Exam 1 Schedule
 Evening Exam 2 Schedule
 Final Exam Schedule
Course Description
MATH 141 is the second course in a twoor threecourse calculus sequence for students in science, engineering and related fields.
Calculus is an important building block in the education of any professional who uses quantitative analysis. This course further introduces and develops the mathematical skills required for analyzing growth and change and creating mathematical models that replicate reallife phenomena. The goals of our calculus courses include to develop the students' knowledge of calculus techniques and to use the calculus environment to develop critical thinking and problem solving skills.
This course covers the following topics: logarithms, exponentials, and inverse trigonometric functions; applications of the definite integral and techniques of integration; sequences and series; power series and Taylor polynomials; parametric equations and polar functions.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
An honors version of this course is offered at least once per year.
Syllabus
 MATH 141 Syllabus Spring 2020
Sample Homework Problems
 Suggested Math 141 Homework Problems (from the textbook)
 Integrals Practice
 Series Practice  answers with hints
 Relative Rates of Growth (RROG) notes
 Extra Practice Problems Week 1  solutions
 Extra Practice Problems Week 2  solutions
 Extra Practice Problems Week 3  solutions
Exams
 Sample Exams
 Evening Exam 1 Information
 Evening Exam 2 Information
 Evening Exam 1 Schedule
 Evening Exam 2 Schedule
 Final Exam Information
 Final Exam Schedule
Guided Study Groups
6:308PM: Tuesdays in 011 Huck Life Sciences, Wednesdays in 115 Osmond
Course Description
Syllabus
 MATH 141B Syllabus  Spring2020
Exams
 Evening Exam 1 Schedule
 Evening Exam 2 Schedule
 Final Exam Schedule (Refresh your computer to get the current version)
MATH 141E is the second course in a two or threecourse calculus sequence for students in science, engineering and related fields. Calculus is an important building block in the education of any professional who uses quantitative analysis. This course further introduces and develops the mathematical skills required for analyzing growth and change and creating mathematical models that replicate real life phenomena. The goals of our calculus courses include to develop the students' knowledge of calculus techniques and to use the calculus environment to develop critical thinking and problem solving skills. This course covers the following topics: logarithms, exponentials, and inverse trigonometric functions; applications of the definite integral and techniques of integration; sequences and series; power series and Taylor polynomials; parametric equations and polar functions.
Enforced Prerequisite at Enrollment: MATH 140 or MATH 140A or MATH 140B or MATH 140E or MATH 140G or MATH 140H.
Bachelor of Arts: Quantification
General Education: Quantification (GQ)
GenEd Learning Objective: Crit and Analytical Think
GenEd Learning Objective: Key Literacies
Syllabus
 MATH 141E Spring 2020 Syllabus
Exams
 Evening Exam Schedule
 Final Exam Schedule
Course Description
Many problems we have to solve in daytoday business, engineering, and science practice require the simultaneous study of several different but interrelated factors. Although problems of this form have been studied throughout the long history of mathematics, only in the early 20th century did the systematic approach we now refer to as linear algebra based on matrices emerge. Matrices and linear algebra are now recognized as the fundamental tool for foundational methods in statistics, optimization, quantum mechanics, and many other fields, and are an essential component of most subfields of mathematics. Linear algebra provides students their first introduction to the concept of dimension in an abstract setting where things with 4, 5, or even more dimensions are often encountered.
MATH 220 is a 2 credit course that teaches the core concepts of matrix arithmetic and linear algebra. It is a required course for many students majoring in engineering, science, or secondary education. In past coursework, students should have gained practice solving pairs of equations like 3 x + 4 y = 10, x  y = 1. This is a system of two linear equations with two unknowns and as a unique solution students can find by isolating and substituting. In linear algebra, this system is represented as A x = b, where x is a vector of unknowns, A is a matrix, and b is a vector of constants. Linear algebra is the field of mathematics that grew out of a need to solve systems like these and related problems with many unknown variables.
Topics covered in MATH 220 include matrix algebra, vectors, linear transformations, solution to systems of linear equations, determinants, matrix inverses, concepts of rank and dimension, eigenvalues, eigenvectors, and others as time permits. Course prerequisites can be filled by one semester of calculus. Students may take MATH 220 concurrently with MATH 141, MATH 230, or MATH 250. Students seeking a linear algebra course without a calculus prerequisite may consider MATH 018 as an alternative. After completing MATH 220, students can enroll in MATH 441 or MATH 484. MATH 441 provides more indepth perspective on linear algebra. MATH 484 studies widely used applications of linear algebra to optimization problems.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
An honors version of this course is offered at least once per year.
Syllabus
Exams
 Midterms
 Sample Midterm Exams
 Evening Exam 1 Schedule
 Finals
 Sample Final Exams
 Final Exam Information
 Final Exam Schedule
Additional Resources
 EBook Registration Instructions (Includes Course ID)
 Course Learning Objectives
MATH 230 is the third and final course in the sequence of calculus courses. In the first year of their calculus studies, students learn concepts of differentiation and integration for functions with a single independent variable. MATH 230 is a course covering calculus computations involving 2 or more variables at the same time, a topic commonly called multivariable calculus. An intuitive and manipulative working knowledge of multivariable calculus is indispensable for electrostatics, fluid dynamics, solid mechanics, and many other fields of science and engineering that involve both space and time.
The differential calculus portion of the course includes the concepts of partial derivatives, gradients, divergence, and curl, multivariable chain rule, coordinate system transformations, and differential equations, with applications to geometry and optimization. The integral calculus portion includes multiple integrals, line integrals and surface integrals, and generalizations of the fundamental theorem of calculus including Green's theorem, Stokes's theorem, and the divergence theorem.
This course is usually completed by students with majors in engineering programs, mathematics, sciences, and secondary education. MATH 230 is also offered as two 2credit courses (MATH 231 and 232). Some students in certain science and engineering majors may be able to fulfill their major requirements with MATH 231 alone. On completing MATH 230, students may enroll in MATH 401, 405, 411, 412, and 421.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
An honors version of this course is offered at least once per year.
Syllabus
 MATH 230 Syllabus  Spring 2020
Sample Homework Problems
Exams
 Evening Exam 1 Schedule
 Evening Exam 2 Schedule
 Final Exam Schedule
Sample Exams  Exam 1
 Spring 2017 Midterm 1
 Fall 2017 Midterm 1
 Spring 2018 Midterm 1
 Fall 2018 Midterm 1
 Spring 2019 Midterm 1  no curvature or arc length questions on this exam due to snow days, will be on Ex1 in F19!
 S17 Solutions
 F17 Solutions
 S18 Solutions
 F18 Solutions
 S19 Solutions
Sample Exams  Exam 2
 Spring 2017 Midterm 2
 Fall 2017 Midterm 2
 Spring 2018 Midterm 2
 Fall 2018 Midterm 2
 Spring 2019 Midterm 2
 Extra practice problems for Fall 2019
 S17 Solutions
 F17 Solutions
 S18 Solutions
 F18 Solutions
 S19 Solutions
 Extra practice solutions
Sample Exams  Final Exam
 Spring 2017 Final
 Fall 2017 Final
 Spring 2018 Final
 Fall 2018 Final
 Spring 2019 Final
 S17 Solutions
 F17 Solutions
 S18 Solutions
 F18 Solutions
 S19 Solutions
Course Description
MATH 231 covers only the differential calculus portion of MATH 230. Topics include partial derivatives, gradients, divergence, and curl, multivariable chain rule, coordinate system transformations, and differential equations, with applications to geometry and optimization.
This course is completed by students in several programs in engineering, mathematics and the sciences and secondary education. For some programs, the integral portion of vector calculus is not required. For students in these programs, MATH 231 may be a more efficient alternative to MATH 230. Completion of MATH 231 and MATH 232 is equivalent to completion of MATH 230. On completing MATH 231, students may enroll in MATH 232, 401, 405, 411, 412.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
An honors version of this course is offered atleast once per year.
Syllabus
 MATH 231 Syllabus  Spring 2020
Exams

Sample Exams
 Spring 2017 Midterm Exam
 Spring 2017 Midterm solutions
 Fall 2017 Midterm Exam
 Fall 2017 Midterm solutions
 Spring 2018 Midterm Exam
 Spring 2018 Midterm solutions
 Fall 2018 Midterm Exam
 Fall 2018 Midterm solutions
 Spring 2019 Midterm Exam
 Spring 2019 Midterm solutions
 Spring 2017 Final Exam
 Spring 2017 Final solutions
 Fall 2017 Final Exam
 Fall 2017 Final solutions
 Spring 2018 Final Exam
 Spring 2018 Final solutions
 Fall 2018 Final Exam
 Fall 2018 Final solutions
 Spring 2019 Final Exam
 Spring 2019 Final solutions
 Evening Exam Schedule
 Final Exam Schedule
Course Description
Multidimensional analytic geometry, double and triple integrals; potential fields; flux; Green's, divergence and Stokes' theorems. Students who have passed MATH 230 may not schedule this course for credit.
Enforced Prerequisite at Enrollment: MATH 231 or MATH 231H
Bachelor of Arts: Quantification
Syllabus
 MATH 232 Syllabus Spring 2020
Exams
 Evening Exam 1 Schedule
In calculus courses like MATH 140 and 141, students learn to calculate the derivative of a function and to use derivatives in simple applications. In MATH 250, students will learn how derivatives commonly appear in equations used to describe the world. Equations involving derivatives are called differential equations. Differential equations play an important role in modeling the real world. Newton's laws, Maxwell's laws of electromagnetism, Einstein's equations of general relativity, Euler and Bernoulli's beam equation, the BlackScholes equation from finance, Perelson's viraldynamics equations in biology, and the milliondollar NavierStokes equations are all differential equations used daily in their respective disciplines. Today, differential equations are one of the fundamental mathematical tools for the study of systems that change over time, and are used in most areas of science, engineering, and mathematics.
MATH 250 is an introductory course on ordinary differential equations. Ordinary differential equations are equations that involve derivative of a function with respect to only one variable. The goal of this course is to teach the students some of the elementary techniques in dealing with several fundamental types of equations. Some topics include linear equations involving only first and second derivatives, Laplace transforms, systems of linear equations involving only first derivatives, and phaseplane analysis.
This course is completed by many students with engineering, mathematics, sciences, and secondary education majors. Students needing a more complete introduction to differential equations should consider MATH 251, which is a 4credit course covering all the material of MATH 250 plus an introduction to partial differential equations. Students who have passed MATH 251 may not schedule this course for credit. On completing MATH 250, students may enroll in MATH 405, 411, 412, 417, and 419.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
Syllabus
 MATH 250 Syllabus Spring 2020
Exams
 Evening Exam 1 Schedule
 Evening Exam 2 Schedule
 Final Exam Schedule
 2017 Sample Exam
 2017 Exam Solutions
 2018 Sample Exam
 2018 Exam Solutions
Course Description
In calculus courses like MATH 140 and 141, students learn to calculate the derivative of a function and to use derivatives in simple applications. In MATH 251, students will learn how derivatives commonly appear in equations used to describe the world. Equations involving derivatives are called differential equations. Differential equations play an important role in modeling the real world. Newton's laws, Maxwell's laws of electromagnetism, Einstein's equations of general relativity, Euler and Bernoulli's beam equation, the BlackScholes equation from finance, Perelson's viraldynamics equations in biology, and the milliondollar NavierStokes equations are all differential equations used daily in their respective disciplines. Today, differential equations are one of the fundamental mathematical tools for the study of systems that change over time, and are used in most areas of science, engineering, and mathematics.
MATH 251 is an introductory course on ordinary differential equations and partial differential equations. It is a 1credit extension of MATH 250; this extra credit is used to allow the coverage of partial differential equations (which are not covered in MATH 250 because of time limitations). Partial differential equations are differential equations that involve derivatives with respect to more than one independent variable. Such equations are needed to understand phenomena like the vibration of a guitar string, the failure of an Ibeam, and the diffusion of particles in fluid. The goal of this course is to teach the students some elementary techniques of ordinary and partial differential equations. Some of the topics covered in this course include first order ordinary differential equations, second order ordinary differential equations with constant coefficients, 2 × 2 linear systems with constant coefficients, stability of equilibrium solutions, Laplace transforms, Fourier series, partial differential equations which include the heat equation, wave equation and the Laplace equation.
MATH 251 fulfills all the differential equations training requirements fulfilled by MATH 250 and some majors require 251 in place of 250. On completing MATH 251, students may enroll in MATH 405, 411, 412, 417, and 419.
Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
An honors version of this course is offered at least once per year.
Syllabus
 MATH 251 Syllabus Spring 2020
Exams
 Evening Exam 1 Schedule
 Evening Exam 2 Schedule
 Final Exam Schedule
Course Descriptions
In MATH 252, students will learn how derivatives commonly appear in equations used to describe the world. Equations involving derivatives are called differential equations and they play an important role in modeling the physical universe. Newton’s laws of motion, Maxwell’s laws of electromagnetism, Einstein’s equations of general relativity are all differential equations describing the rate that quantities change. Today, differential equations are one of the fundamental mathematical tools for the description of systems that change over time and are used in many areas of science, engineering, and mathematics.
MATH 252 is an introductory course on partial differential equations (abbreviated PDE’s)which involve derivatives with respect to more than one independent variable. Whereas ordinary differential equations use a single variable such as time, a PDE would include perhaps a time variable as well as a spatial variable. Such equations are needed to understand phenomena like the vibration of a guitar string in which different positions of the string move differently and therefore require multiple variables to describe the motion. The goal of this course is to teach students some elementary techniques for solving PDE’s, including such topics as the method of separation of variables, eigenvalue/eigenfunction computation, boundary value and initial value types, and decomposition of periodic functions into Fourier series. PDE’s studied include the wave equation, the heat equation, and Laplace’s equation. This course will also highlight the physical interpretation of the PDE and properties of solutions, which are meant to represent physical quantities.
Completing MATH 250 (a 3 credit class) and MATH 252 (a 1 credit class) is equivalent to completing MATH 251 (a 4 credit class), and after successful completion, students may enroll inMATH 405, 411, 412, 417, and 419. Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.
Syllabus
 Math 252 Syllabus Spring 2020