Math 180: Calculus I
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Course Prerequisites
One of:
- Grade C or better in Math 121
- Adequate score on the math placement test.
Prerequisites are enforced throughout all sections of the course without exceptions.
Course Description
Differentiation, curve sketching, maximum-minimum problems, related rates, mean-value theorem, antiderivative, Riemann integral, logarithm, and exponential functions. Course Information: Prior credit in MATH 165 or MATH 170 will be lost with subsequent completion of MATH 180. Prerequisite(s): Grade of C or better in MATH 121 or appropriate performance on the department placement test. 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 (some exceptions noted below)
Prior credit in MATH 165 or MATH 170 will be lost with subsequent completion of MATH 180.
Course Materials
Textbook
- Calculus: Early Transcendentals by William Briggs and Lyle Cochran, 3rd edition, published by Addison-Wesley.
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.
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 below or on the Blackboard site. A physical copy can be bought directly at the UIC bookstore.
Sample Exams Heading link
Course Schedule Heading link
Sections | Topics |
---|---|
Week 1
Sec 2.1 - 2.3 |
The Idea of Limits
Definitions of Limits Techniques of Computing Limits |
Week 2 Sec 2.3 - 2.5 |
Techniques for Computing Limits Infinite Limits Limits at Infinity |
Week 3
Sec 2.6, 3.1-3.2 |
Continuity Introducing the derivative Working with Derivatives |
Week 4
Sec 3.3 - 3.5 |
Derivatives of Trig Functions The Chain Rule Derivatives as Rates of Change |
Week 5
Sec 3.8 |
Review and Exam 1 Implicit Differentiation |
Week 6
Sec 3.9-3.11 |
Derivatives of Log & Exp Functions Derivatives of Inverse Trig Functions Related Rates |
Week 7
Sec 4.1-4.3 |
Maxima and Minima The Mean Value Theorem What Derivatives Tell Us |
Week 8
Sec 4.3-4.5 |
Graphing Functions Optimization Problems |
Week 9
Sec 4.5-4.6 |
Review and Exam 2 Linear Approximation and Differentials |
Week 10
Sec 4.7, 4.9 |
L'Hopital's Rule Antiderivatives |
Week 11
Sec 5.1, 5.2 |
Approximating Areas Under Curves Definite Integrals |
Week 12
Sec 5.3, 5.4 |
Fundamental Theorem of Calculus Working with Integrals |
Week 13
Sec 13.1, 13.3 |
Vectors in the Plane Dot Products |
Week 14
Sec 13.3 |
Dot Products |
Week 15 | Review for Final Exam |
Week 16
Finals' Week |
Final Exam |
List of Topics Heading link
Section | Topic(s) |
---|---|
2.1 | The Idea of Limits |
2.2 | Definitions of Limits |
2.3 | Techniques for Computing Limits, Squeeze Theorem |
2.4 | Infinite Limits |
2.5 | Limits at Infinity |
2.6 | Continuity |
3.1 | Introducing the Derivative |
3.2 | Working with Derivatives |
3.3 | Rules of Differentiation |
3.4 | The Product & Quotient Rules |
3.5 | Derivatives of Trigonometric Functions |
3.6 | Derivatives as Rates of Change |
3.7 | The Chain Rule |
3.8 | Implicit Differentiation |
3.9 | Derivatives of Logarithmic & Exponential Functions |
3.10 | Derivatives of Inverse Trigonometric Functions |
3.11 | Related Rates |
4.1 | Maxima and Minima |
4.2 | The Mean Value Theorem |
4.3 | What Derivatives Tell Us |
4.4 | Graphing Functions |
4.5 | Optimization Problems |
4.6 | Linear Approximation & Differentials |
4.7 | L'Hôpital's rule |
4.9 | Antiderivatives |
5.1 | Approximating Areas Under Curves |
5.2 | Definite Integrals |
5.3 | Fundamental Theorem of Calculus |
5.4 | Working with Integrals |
13.1 | Vectors in the Plane (time permitting) |
13.3 | Dot Products (time permitting) |