Courses: Mathematics

MAT 122 - C - Overview of Calculus with Applications
Credits: 3
Prerequisite: MAP 103 or level 3 on the mathematics placement exam. (Prerequisite must be met within one year prior to beginning the course.)

The basics of calculus in a self-contained, one-semester course. Properties and applications of polynomial, exponential, and logarithmic functions. Derivatives: slopes, rates of change, optimization, integrals, area, cumulative change, and average. The fundamental theorem of calculus. Emphasis on modeling examples from economics. Students who subsequently wish to enroll in MAT 125 or 131 will be required to take MAT 130 as a pre- or corequisite to either course or to score level 4 on the mathematics placement examination before taking either course.

MAT 123 - C - Introduction to Calculus
Credits: 3
Prerequisite: MAP 103 or level 3 on the mathematics placement exam. (Prerequisite must be met within one year prior to beginning the course.)

Comprehensive preparation for the regular calculus sequences, with introduction to derivatives. Careful development of rational, exponential, logarithmic, and trigonometric functions, and their applications. Asymptotics and limits. Linear approximations, slope
and derivatives, detailed curve sketching. General modeling examples.

 

MAT 125 - C - Calculus A
Credits: 3
Prerequisite: MAT 123; or level 4 on the mathematics placement examination; or MAT 122 and coregistration in MAT 130.

Differential calculus, emphasizing conceptual understanding, computations and applications, for students who have the necessary background from 12th-year high school mathematics. Differentiation of elementary algebraic, trigonometric, exponential and logarithmic functions; graphing; modeling; and maximization. May not be taken for credit in addition to MAT 131 or 141 or AMS 151.

MAT 126 - C - Calculus B
Credits: 3
Prerequisite: C or higher in MAT 125 or 131 or 141 or AMS 151 or level 6 on the mathematics placement examination.

A continuation of MAT 125, covering integral calculus: the fundamental theorem, symbolic and numeric methods of integration, area under a curve, volume, applications such as work and probability. May not be taken for credit in addition to MAT 142 or AMS 161.

MAT 130 - Functions
Credits: 1
Advisory Prerequisite: C or higher in MAT 122. Advisory Corequisite: MAT 125 or 131 or AMS 151.

Inverse functions, exponential and logarithmic functions, radian measure of angles and trigonometric functions. Open to prospective students in engineering, physical sciences, and mathematics who need to bridge the gap between MAT 122 and 125 or MAT 131 or AMS 151. May not be taken for credit in addition to MAT 123.

MAT 131 - C - Calculus I
Credits: 4
Prerequisite: B or higher in MAT 123, or level 5 on the mathematics placement examination, or B or higher in MAT 122 and co-registration in MAT 130.

The differential calculus and integral calculus, emphasizing conceptual understanding, computations and applications, for students who have the necessary background from 12th-year high school mathematics. Differentiation of elementary algebraic; trigonometric, exponential, and logarithmic functions; graphing; modeling and maximization; the Riemann integral; and the fundamental theorem. May not be taken for credit in addition to MAT 125 or 141 or AMS 151.

MAT 132 - C - Calculus II
Credits: 4
Prerequisite: C or higher in AMS 151 or MAT 131 or 141, or level 7 on the mathematics placement examination.

A continuation of MAT 131, covering symbolic and numeric methods of integration; area under a curve; volume; applications such as work and probability; improper integrals and l’Hospital’s rule; complex numbers; sequences; series; Taylor series; differential equations; and modeling. May not be taken for credit in addition to MAT 127 or 142 or AMS 161.

MAT 141 - C - Honors Calculus I
Credits: 4
Prerequisite: Level 5 on the mathematics placement examination; priority given to students in the University’s honors programs.

The topics of MAT 131 treated with additional attention to the underlying theory as a means of understanding why the processes of calculus work. May not be taken for credit in addition to MAT 125 or 131.

MAT 142 - Honors Calculus II
Credits: 4
Prerequisite: C or higher in MAT 141, or B or higher in MAT 131 or AMS 151, or level 7 on the mathematics placement examination.

A continuation of MAT 141 in the same spirit, covering the topics of MAT 132. May not be taken for credit in addition to MAT 126 or 127 or 132 or AMS 161.