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

**Course Description:**:Definite and indefinite integrals, techniques of integration, transcendental functions, and applications of the definite integral. Four hours of lecture per week.**Listed as MATH 2414 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**

- 4.8 Review Antiderivative.CHAPTER 5
- 5.1 Area
- 5.2 The Definite Integral
- (5.3) The Fundamental Theorem of Calculus
- (5.4) Properties of the Definite Integral
- (5.5) The Indefinite Integral; Growth and Decay Models
- (5.6) Method of Substitution; Newtwon’s Law of Cooling

CHAPTER 6

- (6.1) Area Between Graphs
- (6.2) Volume of a Solid of Revolution: Disks and Washes
- (6.3) Volume of a Solid of Revolution: Cylindrical Shells
- (6.4) Volume of a Solid: Slicing Method
- (6.5) Arc Length
- (6.6) Work
- (6.7) Hydrostatic Pressure and Force
- (6.8) Center of Mass; Centroid: Pappus Theorem

CHAPTER 7

- (7.1) Integration by Parts
- (7.2) Integrals Containing Trigonometric functions
- (7.3) Integration by trigonometric Substitution: integrands containing

$\sqrt{a^2-x^2},\sqrt{x^2+a^2}, \sqrt{x^2-a^2} ,a>0$. - (7.4) Substitution: integrands contains $a x^2 + bx +C$
- (7.5) Integration of rational functions using partial fractions
- (7.6) Integration Using Numerical Techniques
- (7.8) Improper Integrals

CHAPTER 9

- (9.1) Parametric Equations
- (9.2) Tangent Lines; Arc Length
- (9.3) Surface Area of a solid of Revolution
- (9.4) Polar Coordinates
- (9.5) Polar Equations; Parametric Equations; Arc Length of Polar Equations

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