MAT1223
Revision as of 13:37, 31 March 2023 by Juan.gutierrez3 (talk | contribs) (→Topics List: Modifed content per input by Calc II instructors)
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.
Topics List
| Date | Sections | Topics | Prerequisite Skills | Student Learning Outcomes |
|---|---|---|---|---|
| Week 1 | 1.5 |
Integration by Substitution | * Differentiation Rules < | -- 1214-3.3 -->
|
| 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 < | -- Grades 6-12 --> |
| 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 < | -- 1214-3.3 --> |
| Week 4 | 2.5 |
Physical Applications | * Areas of basic shapes < | -- Grades 6-12 --> |
| Week 4 & 5 | 2.6 |
Moments and Center of Mass | * [[Toolkit Functions | Graphing elementary functions]] < |
| Week 5 | 3.1 |
Integration by Parts | * Differentiation Rules < | -- 1214-3.3 -->
|
| Week 6 | 3.2 |
Trigonometric Integrals | * Trigonometric Functions < | -- 1093-2.2 -->
|
| Week 6 & 7 | 3.3 |
Trigonometric Substitution | * Completing the Square < | -- 1073-Mod 3.2--> |
| Week 7 | 3.4 |
Partial Fractions | * Factoring Polynomials < | -- 1073-Mod 0.2 --> |
| Week 8 | 3.7 |
Improper Integrals | * The Fundamental Theorem of Calculus < | -- 1214-5.3 --> |
| Week 9 | 5.1 |
Sequences | * [[The Limit Laws | The Limit Laws and Squeeze Theorem]] < |
| Week 10 | 5.2 |
Infinite Series | * Sigma notation < | -- DNE (recommend 1093) --> |
| Week 11 | 5.3 |
The Divergence and Integral Tests | * The Limit Laws < | -- 1214-2.3 -->
|
| 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 < | -- Grades 6-12 -->
|
| Week 13 | 6.1 |
Power Series and Functions | * [[Infinite Series | The Geometric Series Test]] < |
| Week 14 | 6.2 |
Properties of Power Series | * Differentiation Rules < | -- 1214-3.3 --> |
| Week 15 | 6.3 |
Taylor and Maclaurin Series | * [[The Derivative as a Function | Higher-Order Derivatives]] < |
