# MAT1213

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The textbook for this course is Calculus (Volume 1) 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 | 2.2 | The Limit of a Function | ||

Week 1 & 2 | 2.3 | The Limit Laws | ||

Week 2 | 2.4 | Continuity | ||

Week 3 | 4.6 | Limits at Infinity and Asymptotes | ||

Week 3 & 4 | 3.1 | Defining the Derivative | ||

Week 4 | 3.2 | The Derivative as a Function | ||

Week 5 | 3.3 | Differentiation Rules | ||

Week 5 | 3.4 | Derivative as a rate of change | ||

Week 5 | 3.5 | Derivatives of the Trigonometric Functions | ||

Week 6 | 3.6 | The Chain Rule | ||

Week 6 | 3.7 | Derivatives of Inverse Functions | ||

Week 6/7 | 3.8 | Implicit Differentiation | ||

Week 8 | 3.9 | Derivatives of Exponential and Logarithmic Functions | ||

Week 9 | 4.1 | Related Rates | ||

Week 9 | 4.3 | Maxima and Minima | ||

Week 10 | 4.4 | Mean Value Theorem | ||

Week 10 | 4.5 | Derivatives and the Shape of a Graph | ||

Week 11 | 4.7 | Applied Optimization Problems | ||

Week 12 | 4.8 | L’Hôpital’s Rule | ||

Week 13 | 4.10 | Antiderivatives | ||

Week 13 | 5.1 | Approximating Areas | ||

Week 14 | 5.2 | The Definite Integral | ||

Week 15 | 5.3 | The Fundamental Theorem of Calculus | ||

Week 15 | 5.4 | Integration Formulas and the Net Change Theorem |