**Course Prerequisites/Corequisites:** MATH 241.

**Course Description:**Inequalities, functions, graphs, straight lines, linear equations, limits, continuity, differentiation, maximum-minimum problems, mean value theorem, related rates, and indefinite integrals. Four hours of lecture per week.**Listed as MATH 2413 in the Texas Common Course Numbering System.**

**Required Reading / Textbook:** Calculus: Early Transcendentals. Sullivan and Miranda, W.H. Freemand and Company

** Major Assignments/Exams**

- Homework
- Quizzes
- Exams
- Final Exam

**Course topics**

CHPATER 2. Limits

- 2.1 The Idea of Limits
- 2.2 Definitions of Limits
- 2.3 Techniques for Computing Limits
- 2.4 Infinite Limits
- 2.5 Limits at Infinity
- 2.6 Continuity
- 2.7 Precise Definitions of Limits (optional)

CHPATER 3. Derivatives.

- 3.1 Introducing the Derivative
- 3.2 Rules of Differentiation
- 3.3 The Product and Quotient Rules
- 3.4 Derivatives of Trigonometric Functions
- 3.5 Derivatives as Rates of Change
- 3.6 The Chain Rule
- 3.7 Implicit Differentiation
- 3.8 Derivatives of Logarithmic and Exponential Functions
- 3.9 Derivatives of Inverse Trigonometric Functions
- 3.10 Related Rates

CHPATER 4. Applications of the Derivative

- 4.1 Maxima and Minima
- 4.2 What Derivatives Tell Us
- 4.3 Graphing Functions
- 4.4 Optimization Problems
- 4.5 Linear Approximation and Differentials
- 4.6 Mean Value Theorem
- 4.7 L’Hôpital’s Rule
- 4.8 Antiderivatives

CHPATER 5. Integration

- 5.3 Fundamental Theorem of Calculus (if time permits)
- 5.4 Working with Integrals (if time permits)
- 5.5 Substitution Rule(if time permits)

CHPATER6. Applications of Integration

- 6.2 Regions between Curves (if time permits)

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