Textbook: Single Variable Calculus, fourth edition, by James Stewart
Content:
A "Catalog Description" is available at
http://www.math.rochester.edu/courses/catalog/MTH141.html
MTH 141 covers differential calculus, which is the mathematical method for analyzing
changing quantities. Change is measured by, for example, slopes, velocities, acceleration, and, in
general, derivatives. The precise definition of an instantaneous rate of change requires an understanding
of limits, a notion which also leads to the understanding of what is meant by a continuously changing
quantity. Techniques like the product, quotient, and chain rules enable efficient computation of
derivatives which can then be applied to, among other things, the analysis of motion, rates of change,
optimization problems, and understanding the shape of a graph.
Practice midterm (also distributed in class)
Practice final (also distributed in class)
FINAL: August 11, Hylan 1101, you can come any time between 8am and
11pm, but please let me know when you are going to come (approximately)
Also, August 11 is the last day you can submit your homeworks and extra credit problems.
Grading policy:
Attendance 10% [20 points] (If you are going to miss a class, please
send me an email (preferably in advance) explaining
your reason. You will not lose any points in case of illness, family emergency, or other serious reason)
Homework 35% [70 points] (Weekly homework will be due Monday of each
week)
Midterm 20% [40 points] (July 24)
Final 35% [70 points] (August 11)
Total: 200 points.
Instructor: Maria Voloshina
Office: Hylan 818
Office hours: M W 11:30-13:00, T R 16:00-17:30, and by appointment
Email: voloshin@math.rochester.edu
Webpage: http://www.math.rochester.edu/u/voloshin/
Webpage for Math 141: http://www.math.rochester.edu/u/voloshin/math141-00.html
Week 1
June 26 ... Appendices A and B. Intervals, Inequalities, and Absolute Values.
Coordinate Geometry and Lines.
June 27 ... Appendices C and D. Graphs of Second-degree Equations.
Trigonometry.
June 28 ... 1.3, 1.5. New Functions from Old Functions. Exponential Functions.
June 29 ... 1.6. Inverse Functions and Logarithms. Review.
July 3-7 ... NO CLASSES
Week 2
July 10 ... 2.1, 2.1. The Tangent and Velocity Problems. The Limit of a
Function.
July 11 ... 2.3, 2.4. Calculating Limits Using the Limit Laws. The Precise
Definition of a Limit.
July 12 ... 2.5. Continuity.
July 13 ... 2.6. Limits at Infinity; Horizontal Asymptotes.
Week 3
July 17 ... 2.7, 2.8. Tangents, Velocities, and Other Rates of Change.
Derivatives.
July 18 ... 2.9. The Derivative as a Function. Review.
July 19 ... 3.1. Derivatives of Polynomials and Exponential Functions.
July 20 ... 3.2. The Product and Quotient Rules.
Week 4
July 24 ... 3.3. Rates of Change in the Natural and Social Sciences.
Midterm (covers chapters 1 and 2)
July 25 ... 3.4. Derivatives of Trigonometric Functions.
July 26 ... 3.5. The Chain Rule.
July 27 ... 3.6. Implicit Differentiation.
Week 5
July 31 ... 3.7. Higher Derivatives.
Aug 1 ..... 3.8, 3.10. Derivatives of Logarithmic Functions. Related Rates.
Aug 2 ..... 3.11. Linear Approximations and Differentials. Review.
Aug 3 ..... 4.1. Maximum and Minimum Values.
Week 6
Aug 7 ..... 4.2. The Mean Value Theorem.
Aug 8 ..... 4.3. How Derivatives Affect the Shape of a Graph.
Aug 9 ..... 4.4. Indeterminate Forms and L'Hopital's Rule
Aug 10 .... Appendices E and G. Sigma Notation. Principle of
Mathematical Induction. Complex Numbers. Review. Practice Final.
Aug 11 .... Final exam (covers chapters 3 and 4)
Each problem is worth 1 point.
Assignment 1, due July 10
App. A. p.A9: 36
App. B. p.A16: 52, 58
App. C. p.A23: 8, 28, 40
App. D. p.A31: 14, 70, 74, 104
1.3. p.47: 10, 18, 36, 64
1.5. p.63: 10, 18
1.6. p.73: 24, 38, 50
Assignment 2, due July 17
2.2. p.100: 4, 14, 24
2.3. p.110: 6, 18, 22, 56
2.4. p.121: 16
2.5. p.131: 20, 32, 46
2.6. p.145: 16, 20, 24, 44
Assignment 3, due July 24
2.7. p.154: 10
2.8. p.160: 8, 14, 24, 34
2.9. p.171: 2, 14, 26
3.1. p.189: 8, 16, 52, 58
3.2. p.195: 6, 26, 40
Assignment 4, due July 31
3.3. p.205: 8
3.4. p.213: 8, 16, 22, 36, 42
3.5. p.222: 14, 22, 34, 52, 56
3.6. p.230: 6, 18, 26, 42
Assignment 5, due August 7
3.7. p.238: 14, 31, 44, 54
3.8. p.245: 22, 44
3.10. p.257: 6, 16
3.11. p.264: 4, 16, 26
4.1. p. 284: 4, 52, 60, 64, 77
Assignment 6, due August 11
4.2. p.293: 18, 24
4.3. p.303: 12, 28, 48
4.4. p.311: 8, 50
The following problems are not required. They are optional. You may do them if you want to get some extra points (1 point for each problem).
p.83: 1-20
p.179: 1-14
p.273-275: 1-27
p.364-365: 1-24
Note: In Math 141, we do not cover all of chapter 4. In particular, we do not cover
"optimization problems". Therefore, some problems on pages 364-365 will be very
difficult for you. However, you may do them too if you really want to.