Mathematics 0110A/B – Introductory Calculus
Introduction to differential calculus including limits, continuity, definition of
derivative, rules for differentiation, implicit differentiation, velocity,
acceleration, related rates, maxima and minima, exponential functions, logarithmic
functions, differentiation of exponential and logarithmic functions, curve sketching.
1000A/B Calculus I
Review of limits and derivatives of exponential, logarithmic and rational functions.
Trigonometric functions and their inverses. The derivatives of the trig functions and
their inverses. L’Hospital’s rules. The definite integral. Fundamental theorem of
Calculus. Simple substitution. Applications including areas of regions and volumes of
solids of revolution.
Calculus 1100A/B – Calculus I with Fundamentals
Differential Calculus including limits, continuity, differentiation rules, implicit
differentiation, related rates, maxima and minima, differentiation of exponentials
and logs, and curve sketching. Derivatives of trig functions and their inverses.
L’Hospital’s rule. The definite integral. Fundamental theorem of Calculus. Simple
substitution. Area of regions and volumes of solids of revolution.
Mathematics 1225A/B – Methods of Calculus
Elementary techniques of integration; applications of Calculus such as area, volume,
probability; functions of several variables, Lagrange multipliers. This course is
intended primarily for students in the Social Sciences, but may meet minimum
requirements for some Biological or Basic Medical Sciences modules. It may not be
used as a prerequisite for any Calculus course numbered 1300 or above.
Mathematics 1228A/B – Methods of Finite Mathematics
Permutations and combinations; probability theory. This course is intended primarily
for students in the Social Sciences, but may meet minimum requirements for some
Biological or Basic Medical Sciences.
Mathematics 1229A/B – Methods of Matrix Algebra
Matrix algebra including vectors and matrices, linear equations, determinants. This
course is intended primarily for students in the Social Sciences, but may meet
minimum requirements for some Biological or Basic Medical Sciences
Calculus 1301A/B – Calculus II
For students requiring the equivalent of a full course in calculus at a less rigorous
level than Calculus 1501A/B. Integration by parts, partial fractions, integral
tables, geometric series, harmonic series, Taylor series with applications, arc
length of parametric and polar curves, first order linear and separable differential
equations with applications.
Mathematics 1600A/B – Linear Algebra I
Properties and applications of vectors; matrix algebra; solving systems of linear
equations; determinants; vector spaces; orthogonality; eigenvalues and eigenvectors.