# MATH 1432 - Calculus II

**Section number**: This information applies to all sections.

**Delivery format**: face-to-face lecture or online.

**Prerequisites**: MATH 1431.

**Course Description**: Techniques and applications of integration, sequences, series, polar coordinates and parametric equations. **Note: TCCNS Equivalent: MATH 2414*

**Core Category:** Math/Reasoning (90)

**Textbook**: Single Variable Calculus, copyright University of Houston Mathematics Department. Available in electronic form (PDF) through CASA for all enrolled students via an **Access Code. *****Note: If you misplace/lose your code, you will need to purchase another. There is no exception to this.**

**The information contained in this class outline is an abbreviated description of the course. Additional important information is contained at your instructor’s personal webpage. You are responsible for knowing all of this information.**

Upon successful completion of this course, students will understand and be able to apply the ideas of differential and integral calculus to transcendental functions, polar coordinates and parametric curves. They will develop skill in techniques and further applications of integration. They will understand convergence of sequences and series and be able to test for convergence. They will understand and appreciate the importance of power series and Taylor polynomials. Students will be able to use graphical information and symbolic expression simultaneously in solving mathematical problems. They will be able to translate ordinary language descriptions of problems into mathematical expression, derive solutions by rigorous mathematical methods, interpret their results, and explain them.

**Assignments:**

- 4 Regular Exams
- Final Exam
- Online Quizzes
- Written Quizzes – given weekly in recitation
- Homework – on each section of the textbook covered in class
- Poppers – in-class quizzes given daily starting the 3rd week of classes.

**Grading:**

Test 1 - 5%

Tests 2, 3, 4 - 15% each

Final exam - 25%

Lab Quizzes - 5%

Homework - 7%

Online Quizzes - 10%

In-class Poppers and Attendance - 3%

Note: The percentage grade on the final exam can be used to replace your lowest test score.

**Text:** The learning materials for Math 1432, including the textbook, are found online on the CourseWare site. Students are required to purchase an **Access Code** at the University Book Store to access the learning materials.

**Calculus II Topic List**

**Chapter 7. Applications of Integration**

Section 7.2. Area

Section 7.3. Volume

Section 7.4. Centroids

Section 7.5. Arc Length and Surface Area

Section 7.6. Differential Equations and Exponential Growth/Decay

Section 7.7. The Hyperbolic Sine and Cosine Functions

**Chapter 8. Techniques of Integration**

Section 8.1. Integration by Parts

Section 8.2. Powers of Trigonometric Functions

Section 8.3. Trigonometric Substitutions

Section 8.4. Integrating Rational Functions

Section 8.5. Numerical Integration

**Chapter 9. Sequences and Series**

Section 9.1. Sequences and Convergence

Section 9.2. Numerical Series and Convergence

Section 9.3. Tests for Convergence

Section 9.4. The Power Series

Section 9.5. The Taylor Series

**Chapter 10. Polar Coordinates and Parametric Equations **

Section 10.1. Polar Coordinates and Polar Curves

Section 10.2. Area and Arc Length in Polar Coordinates

Section 10.3. Parametric Equations

Section 10.4. Derivatives for Curves Given Parametrically

Section 10.5. Arc Length for Curves Given Parametrically

Section 10.6. Surface Area

Whenever possible, and in accordance with 504/ADA guidelines, the University of Houston will attempt to provide reasonable academic accommodations to students who request and require them. Please call 713-743-5400 for more assistance.