Math 181: Calculus II
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Course Information
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Course Prerequisites
A grade of C or better in MATH 180
Course Description
Techniques of integration, arc length, solids of revolution, applications, polar coordinates, parametric equations, infinite sequences and series, power series. Course Information: Prerequisite(s): Grade of C or better in MATH 180. Class Schedule Information: To be properly registered, students must enroll in one Discussion/Recitation and one Lecture. Natural World – No Lab course.
Credit Awarded
4 hours
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Course Materials
Textbook
Calculus: Early Transcendentals by William Briggs and Lyle Cochran, 3rd edition, published by Addison-Wesley.
Note that a MyLabMath code is required for this course while the printed textbook is optional.
Chapters 6-10 are covered in Math 181.
MyMathLab Access Code
A MyLabMath code can be purchased online after registering for MyMathLab through Blackboard, or at the UIC bookstore, with or without the textbook. Make sure your MyMathLab code is linked to the Blackboard course. The MyMathLab code includes an electronic version of the textbook, buying a physical copy is optional.
Students coming from Math 180 at UIC can use the same access code for Math 181, if it has not expired.
Discussion Worksheets and Guided Lecture Sheets Bundles
Discussion worksheets and Guided Lecture Sheets will not be provided in class. You can download the worksheets, or you can buy them from the bookstore. You can find the PDFs for the worksheets on Blackboard.
The guided lecture sheets will be used in the lecture, and the discussion worksheets will be used in the problem-solving sessions on Tuesdays and Thursdays.
Check Blackboard for updated schedule and semester-specific information.
Course Schedule
| Sections | Topics |
|---|---|
|
Week 1
Sec 5.2-5.4 |
Review of Definite Integrals Review of the FTC Working with Integrals |
|
Week 2 Sec 5.5, 6.1-6.2 |
Substitution Velocity Regions between Curves |
|
Week 3
Sec 6.3, 6.5 |
Volumes by Slicing Length of Curves |
|
Week 4
Sec 6.7, 8.2 |
Physical Approximations Integration by Parts |
|
Week 5
Sec 8.3, 8.4 |
Trigonometric Integrals Trigonometric Substitutions |
|
Week 6
Sec 8.5, 8.9 |
Partial Fractions Improper Integrals |
|
Week 7
10.1 |
An Overview |
|
Week 8
Sec 10.2, 10.3 |
Sequences Infinite Series |
|
Week 9
Sec 10.4, 10.5 |
Divergence and p-test Comparison Tests |
|
Week 10
Sec 10.6, 10.7 |
Alternating Series/Absolute Convergence Ratio & Root Test |
|
Week 11
Sec 11.1, 11.2 |
Approximating Functions with Polynomials Properties of Power Series |
|
Week 12
Sec 11..3, 11.4 |
Taylor Series Working with Taylor Series |
|
Week 13
Sec 12.1, 12.2 |
Parametric Equations Polar Coordinates |
|
Week 14
Sec 8.8 |
Numerical Integration |
| Week 15 | Review |
|
Week 16
Finals' Week |
Final Exam |
List of Topics
| Section | Topic(s) |
|---|---|
| 5.2 | Definite Integrals (Review) |
| 5.3 | FTC (Review |
| 5.4 | Working with Integrals (Review) |
| 5.5 | Substitution |
| 6.1 | Velocity and Net Change |
| 6.2 | Regions Between Curves |
| 6.3 | Volumes By Slicing |
| 6.5 | Length of Curves |
| 6.7 | Physical Applications |
| 8.2 | Integration By Parts |
| 8.3 | Trigonometric Integrals |
| 8.4 | Trigonometric Substitutions |
| 8.5 | Partial Fractions |
| 8.8 | Numerical Integration |
| 8.9 | Improper Integrals |
| 10.1 | An Overview of Sequences and Series |
| 10.2 | Sequences |
| 10.3 | Infinite Series |
| 10.4 | Divergence and p-test |
| 10.7 | Ratio Test |
| 10.5 | Comparison Tests |
| 10.6 | Alternating Series |
| 11.1 | Approximating Functions with Polynomials |
| 11.2 | Properties of Power Series |
| 11.3 | Taylor Series |
| 11.4 | Working with Taylor Series |
| 12.1 | Parametric Equations |
| 12.2 | Polar Coordinates |