MAT1223

The textbook for this course is Calculus (Volume 2) by Gilbert Strang, Edwin Herman, et al.

A comprehensive list of all undergraduate math courses at UTSA can be found here.

The Wikipedia summary of calculus and its history.

Date	Sections	Topics	Prerequisite Skills	Student Learning Outcomes
Week 1	1.5	Integration by Substitution	* Differentiation Rules	Linear Approximations and Differentials
Week 1 & 2	2.1	Area between Curves	* Toolkit Functions	Graphing Elementary Functions
Week 2	2.2	Determining Volumes by Slicing	* Areas of basic shapes	Volume of a cylinder
Week 3	2.3	Volumes of Revolution, Cylindrical Shells	* Toolkit Functions	Graphing elementary functions
Week 3	2.4	Arc Length and Surface Area	* Differentiation Rules	The Fundamental Theorem of Calculus
Week 4	2.5	Physical Applications	* Areas of basic shapes	Volume of a cylinder
Week 4 & 5	2.6	Moments and Center of Mass	* Toolkit Functions	Graphing elementary functions
Week 5	3.1	Integration by Parts	* Differentiation Rules	Linear Approximations and Differentials
Week 6	3.2	Trigonometric Integrals	* Trigonometric Functions	Properties of the Trigonometric Functions
Week 6 & 7	3.3	Trigonometric Substitution	* Completing the Square	Trigonometric Functions
Week 7	3.4	Partial Fractions	* Factoring Polynomials	Completing the Square
Week 8	3.7	Improper Integrals	* The Fundamental Theorem of Calculus	Integration by Substitution
Week 9	5.1	Sequences	* The Limit Laws	The Limit Laws and Squeeze Theorem
Week 10	5.2	Infinite Series	* Sigma notation	Sequences
Week 11	5.3	The Divergence and Integral Tests	* The Limit Laws	Limits at Infinity and Asymptotes
Week 11	5.4	Comparison Tests	* Limits at Infinity and Asymptotes	Limits at Infinity
Week 12	5.5	Alternating Series	* Limits at Infinity and Asymptotes	Limits at Infinity
Week 12	5.6	Ratio and Root Tests	* Factorials	Limits at Infinity and Asymptotes
Week 13	6.1	Power Series and Functions	* Infinite Series	The Geometric Series Test
Week 14	6.2	Properties of Power Series	* Differentiation Rules	Antiderivatives
Week 15	6.3	Taylor and Maclaurin Series	* The Derivative as a Function	Higher-Order Derivatives