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
Math 181 is the second semester of the standard threesemester calculus sequence. As such, its goal is to continue the study of calculus on the real line, started in Math 180 (Calculus I), with a focus on integration, the basics of sequences and series, as well as parametric descriptions for sets in the plane.
Credit Awarded
4 hours
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Course Materials
Textbook
Calculus: Early Transcendentals by William Briggs and Lyle Cochran, 3rd edition, published by AddisonWesley.
Note that a MyLabMath code is required for this course while the printed textbook is optional.
The ISBN for one semester access is 9780135329221, the ISBN for multiple semester access is 9780135329276. The site will become available in week 0, which is the week before the classes begin. Note that only these ISBNs will work with the MyLabMath course. A book bought with MyLabMath access from Amazon or other sources most likely won’t work with the MyLabMath access code.
Chapters 610 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.
Worksheet Bundle
The worksheet bundle will be used in the problem solving sessions on Tuesdays and Thursdays. An electronic, printable copy of it can be found on the Blackboard site or by contacting any course instructor or TA. A physical copy can be bought directly at the UIC bookstore.
Check Blackboard for updated schedule and semesterspecific information.
Sample Exams
Course Schedule
Sections  Topics 

Week 1
Sec 5.25.4 
Review of Definite Integrals Review of the FTC Working with Integrals 
Week 2 Sec 5.5, 6.16.3 
Substitution Velocity Regions between Curves 
Week 3
Sec 6.3, 6.5, 6.7 
Volumes by Slicing Length of Curves Physical Approximations 
Week 4
Sec 8.28.3 
Integrtion by Parts Trigonometric Integrals 
Week 5
Sec 8.5, 8.9 
Partial Fractions Improper Integrals 
Week 6

Review and Exam #1 
Week 7
10.110.3 
An Overview Sequences Infinite Series 
Week 8
Sec 10.4, 10.7, 10.5 
Divergence and ptest Ratio Test Comparison Tests 
Week 9
Sec 11.1, 11.2 
Approximating Functions with Polynomials Properties of Power Series 
Week 10
Sec 11.3 
Review of Power Series Taylor Series 
Week 11
Sec 8.8, 11.4 
Numerical Integration Working with Taylor Series 
Week 12
Sec 12.1, 12.2 
Parametric Equations Polar Coordinates 
Week 13
Sec NH 9.1, NH 9.2 
Linear Systems Matrices 
Week 14
NH 9.2, NH 9.3 
Matrices Linear Maps 
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 
8.5  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 ptest 
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 
alternate text 9.1  Linear Systems 
alternate text 9.2  Matrices 
alternate text 9.3  Linear Maps 