Course Description:
This course is an introduction to writing mathematical proofs, including discussion
of mathematical notation, methods of proof, and strategies for formulating
and communicating mathematical arguments.
Class Information:
3 one hour lectures per week
2 one hour recitations per week
3 Exams
Weekly written homework assignments
Weekly in-class presentations
Avg. Class Size: 25 students
Textbook:
Personal Notes.
Basic Analysis by Jiří Lebl. (Loosely used)
Topics Covered:
Course Description:
This course is devoted to studying the well-posedness of certain nth order linear and nonlinear ordinary differential equations.
Class Information:
2 one and half hour lectures per week
3 Exams
Weekly written homework assignments
Avg. Class Size: 22 students
Textbook:
Elementary Differential Equations and Boundary Value Problems
Tenth Edition by William E. Boyce and Richard C. DiPrima
supplemented with Ordinary Differential Equations by Morris Tenenbaum and Harry Pollard.
Topics Covered:
Course Description:
Calculus I is the first course in the basic calculus sequence and is intended for all mathematics,
engineering, science, and statistics students. Topics covered include the derivatives and integrals
of functions of a single variable. A lab component in which students apply numeric, algebraic,
and graphing technologies to calculus problems is an central part of the course.
Class Information:
3 one-hour Lectures per week
2 Exams and 1 Final Exam
Weekly online homework assignments via LON CAPA (a free course management system developed
at Michigan Sate University)
Weekly in-class quizzes
Avg. Class Size: 75 students
Textbook:
Essential Calculus: Early Transcendentals, second edition, by James Stewart
Topics Covered:
Course Description:
Calculus II is the second installment in the basic calculus sequence and is intended for all mathematics,
engineering, science, and statistics students. Broadly speaking, topics covered include integration
techniques, applications of the integration, sequences and series, parametric equations, polar coordinates,
and an introduction to vector arithmetic and the topic of differential equations.
Class Information:
3 one-hour Lectures per week
2 Exams and 1 Final Exam
Weekly online homework assignments via LON CAPA (a free course management system developed
at Michigan Sate University)
Weekly in-class quizzes
Avg. Class Size: 75 students
Textbook:
Essential Calculus: Early Transcendentals, second edition, by James Stewart
Topics Covered:
Course Description:
This course is devoted to the study of vectors, solid analytic geometry, and calculus of several variables.
Class Information:
3 one-hour Lectures per week
3 Exams and 1 Final Exam
Weekly online homework assignments via WebAssign
Weekly in-class quizzes
Avg. Class Size: 28 students
Textbook:
Multivariable Calculus, 7th edition, by James Stewart
Topics Covered:
Course Description:
This course is devoted to studying the well-posedness of certain first and second-order ordinary differential equations.
Class Information:
3 one-hour Lectures per week
3 Exams and 1 Final Exam
Bi-monthly written homework assignments
Weekly in-class quizzes
Avg. Class Size: 28 students
Textbook:
Elementary Differential Equations and Boundary Value Problems (Custom Edition for the Math. Dept. of the
University of Missouri-Columbia) Tenth Edition by William E. Boyce and Richard C. DiPrima
Topics Covered:
Course Description:
This course consists of a review of exponents, order of operations, factoring, and simplifying polynomial, rational, and radical
expressions. Moreover, we will investigate the properties of linear, quadratic, polynomial, rational, inverse, exponential,
and logarithmic functions as well as their applications.
Class Information:
General Education Requirement
3-5 one-hour Lectures per week
3 Exams and 1 Final Exam
Weekly online homework assignments via WebWork
Weekly in-class quizzes
Bi-monthly online quizzes via WebWork
Avg. Class Size: 30 students
Textbook:
College Algebra, by Carl Stitz and Jeff Zeager
Full-Text PDF
Topics Covered:
Course Description:
This course covers the real number system, functions, analytic geometry as well as an introduction to derivatives, integrals, and
maximum-minimum problems.
Class Information:
For Business, Accounting, Nursing, etc. Majors
3 one-hour Lectures per week
3 Exams and 1 Final Exam
Weekly online homework assignments via WebWork
Weekly in-class quizzes
Avg. Class Size: 30 students
Textbook:
Calculus and Its Applications, 12th edition, by L.J. Goldstein, D.C. Lay, D.I. Schneider, and N. Asmar
Topics Covered:
Program Description:
The Summer Transition Program (STP) is an academic learning community held during the 8-week Summer Session that bridges the gap between High School and College academic life. STP is aimed at offering first year, first time college students an opportunity to enroll in general education courses, participate in a residential living experience, and utilize campus resources to achieve success at The University of Missouri.
Each day during this 8-week program, students focus on completing the ALEKS Prep and Learning Module in order to develop good study skills, build a solid foundation for future college level mathematics, and obtain college credit for some mathematics courses. ALEKS is a powerful artificial-intelligence based assessment tool that zeros in on the strengths and weaknesses of a student's mathematical knowledge, reports its findings to the student, and if necessary provides the student with a learning environment for bringing this knowledge up to an appropriate level for course placement. The University of Missouri requires an ALEKS mathematics placement assessment to determine readiness for various courses. The ALEKS Placement Assessment covers material from Basic Math concepts through Precalculus and will take approximately 90 minutes to complete. The main goal of the Mathematics Prep Course for the Summer Transitions Program is to work side by side with students to improve their mathematical skills and, in turn, their course placement.
Software:
ALEKS Prep and Learning Module
Topics Covered:
Course Description:
This course is devoted to the study of elementary geometry, functions, limits, continuity, derivatives,
antiderivatives, and definite integrals.
Class Information:
3 one-hour Lectures and 2 one-hour discussions per week
3 Exams and 1 Final Exam
Weekly online homework assignments via WebAssign
Weekly in-class quizzes
Avg. Class Size: 300 students in lectures and 32 in discussions
Textbook:
Single Variable Calculus, 7th edition, by James Stewart
Topics Covered:
Course Description:
This course is devoted to the study of elementary transcendental functions, techniques and applications of
integration, sequences, series, power series with applications, and parametric equations and polar coordinates.
Class Information:
3 one-hour Lectures and 2 one-hour discussions per week
3 Exams and 1 Final Exam
Weekly online homework assignments via WebAssign
Weekly in-class quizzes
Avg. Class Size: 32 students
Textbook:
Single Variable Calculus, 7th edition, by James Stewart
Topics Covered:
Course Description:
This course is the writing intensive counterpart to Math 1700 (Calculus II) which emphasizes critical thinking in the study of elementary transcendental functions,
techniques and applications of integration, sequences, series, power series with applications, and parametric equations and polar coordinates.
Class Information:
3 one-hour Lectures and 2 one-hour discussions per week
1 Mid-term Exam and 1 Final Exam
Weekly written homework assignments
Weekly in-class quizzes
Avg. Class Size: 27 students
Textbook:
Single Variable Calculus, 7th edition, by James Stewart
Topics Covered:
Course Description:
Rigorous introduction to foundations of real analysis; real numbers, point set topology in Euclidean space, functions, continuity, differentiation,
and integration.
Class Information:
For advanced undergraduate and beginning graduate level students
3 one-hour Lectures and 2 one-hour discussions per week
3 Exams and 1 Final Exam
Weekly written homework assignments
Weekly in-class quizzes
Avg. Class Size: 23 students
Textbook:
Introduction to Real Analysis, 4th Edition,
by Robert G. Bartle and Donald R. Sherbert
Topics Covered:
I recently started to teach using a Windows Surface Pro. Here is a video lecture of my Calculus I course at the University of Pittsburgh where I am using it.