Math 1a Assignments

 
 

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Schedule for Monday, Wednesday, Friday Classes

Week 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14

Week Date Topic Homework and Reading
(due at the
beginning of class)
1 Tuesday
9/20/05
Required first meeting for all Math 1a students.
8:30 am Science Center D.
 
2 Monday
9/26/05
The Bottle Calibration Problem
  Wednesday
9/28/05
Chapter 1. Precalculus Review.
  • Chapter 1 Review Section. Exercises 1, 3, 4, 5, 8, 10, 11, 12, 13; pp. 84-85.
  Friday
9/30/05
Section 2.1. The Tangent and Velocity Problems.
  • Chapter 1 Review Section. Exercises 17, 19, 22, 25, 26; pp. 84-85.
    Solutions for Chapter 1
  • Section 2.1. Exercise 2*: pp. 97-98.
  • Exercises marked with a * are pre-reading exercises.
3 Monday
10/3/05
Section 2.2. The Limit of a Function.
  Wednesday
10/5/05
Section 2.3. Calculating Limits Using the Limit Laws.
  • Section 2.2. Exercises 4, 6, 8, 9, 10, 22, 28; pp. 106-107
    Solutions for Section 2.2
  • Section 2.3. Exercises 1 (b, c, f, g)*, 2 (a, b, e)*; pp. 115-116.
  Friday
10/7/05
Section 2.4. Continuity.
  • Section 2.3. Exercises 5, 8, 9, 10, 15, 16, 17, 20, 26, 36, 43; pp. 115-116.
    Solutions for Section 2.3
  • Section 2.4. Exercises 2*, 4*; pp. 126-127.
4 Monday
10/10/05
Columbus Day
No Class
 
  Wednesday
10/12/05
Section 2.5. Limits Involving Infinity.
  • Section 2.4. Exercises 6, 8, 14, 16, 18, 26, 32, 34, 36; pp. 126-127.
    Solutions for Section 2.4
  • Section 2.5. Exercises 1*, 4*; pp. 137-139.
  Friday
10/14/05
Section 2.6. Tangents, Velocities, and Other Rates of Change.
  • Section 2.5. Exercises 5, 6, 23, 25, 27, 30, 35, 40, 45, 47; pp. 137-139.
    Solutions for Section 2.5
  • Section 2.6. Exercises 1*, 2*; pp. 145-147.
5 Monday
10/17/05
Section 2.7. Derivative.
  • Section 2.6. Exercises 3, 5, 10, 14, 15, 21, 22, 24; pp. 145-147.
    Solutions for Section 2.6
  • Section 2.7. Exercise 1*; pp. 153-154.
  Wednesday
10/19/05
Section 2.8. The Derivative as a Function.
  • Section 2.7. Exercises 2, 3, 4, 10, 17, 19, 25, 28, 29, 31, 36; pp. 153-154.
    Solutions for Section 2.7
  • Section 2.8. Exercise 1*; pp. 165-168.
  Thursday
10/20/05
Review Session for Midterm I.
7-9 PM in Science D.
 
  Friday
10/21/05
Section 2.9. What does f' Say about f?
  • Section 2.8. Exercises 3, 4, 8, 9, 12, 19, 23, 30, 31, 38, 39, 50; pp. 165-168.
    Solutions for Section 2.8
  • Section 2.9. Exercise 1*; pp. 172-174.
6 Monday
10/24/05
Section 3.1. Derivatives of Polynomial and Exponential Functions.
  • Section 2.9. Exercises 2, 4, 5, 6, 7, 8, 12, 17, 20, 27, 28; pp. 172-174.
    Solutions for Section 2.9
  • Section 3.1. Exercises 1*, 2*; pp. 190-192.
  Wednesday
10/26/05
Section 3.2. The Product and Quotient Rules.
  • Section 3.1. Exercises 3, 11, 16, 21, 23, 26, 30, 38, 42, 58, 63; pp. 190-192.
    Solutions for Section 3.1
  • Section 3.2. Exercises 1*, 2*; pp. 198-200.
  Wednesday
10/26/05
Midterm I
5-7 PM in Science B
 
  Friday
10/28/05
Section 3.3. Rates of Change in the Natural and Social Sciences.
  • Section 3.2. Exercises 4, 7, 8, 10, 13, 16, 22, 24, 32, 36, 38, 40, 41, 45; pp. 198-200.
    Solutions for Section 3.2
  • Section 3.3. Exercises 1*, 4*; pp. 210-213.
7 Monday
10/31/05
Section 3.4. Derivatives of Trigonometric Functions.
  • Section 3.3. Exercises 7, 15, 18, 19, 21, 24, 25, 26, 27, 31, 32, 33; pp. 210-213.
    Solutions for Section 3.3
  • Section 3.4. Exercises 2*, 7*; pp. 218-220.
  Wednesday
11/2/05
Section 3.5. The Chain Rule.
  • Section 3.4. Exercises 10, 14, 15, 18, 27, 31, 32, 39, 41, 42, 43; pp. 218-220.
    Solutions for Section 3.4
  • Section 3.5. Exercises 3*, 6*; pp. 228-231.
  Friday
11/5/05
Section 3.6. Implicit Differentiation.
  • Section 3.5. Exercises 7, 16, 17, 19, 21, 29, 35, 41, 44, 45, 46, 48, 57, 79; pp. 228-231.
    Solutions for Section 3.5
  • Section 3.6. Exercise 1*; pp. 238-240.
8 Monday
11/7/05
Section 3.7. Derivatives of Logarithmic Functions.
  • Section 3.6. Exercises 4, 8, 16, 20, 29, 30, 36, 41, 42, 45, 53, 54; pp. 238-240.
    Solutions for Section 3.6
  • Section 3.7. Exercises 1*, 2*; pp. 245-246.
  Wednesday
11/9/05
Section 3.8. Linear Approximations and Differentials.
  • Section 3.7. Exercise 7, 8, 10, 20, 35, 36, 39, 41; pp. 245-246.
    Solutions for Section 3.7
  • Section 3.8. Exercise 1*; pp. 252-253.
  Friday
11/11/05
Veteran's Day
No Class
 
9 Monday
11/14/05
Section 4.1. Related Rates.
  • Section 3.8. Exercises 4, 5, 11, 14, 21, 27, 31, 32; pp. 252-253.
    Solutions for Section 3.8
  • Section 4.1. Exercise 1*; pp. 267-269.
  Wednesday
11/16/05
Section 4.1. Related Rates.
  • Section 4.1. Exercises 2, 4, 7, 9, 10, 12, 16, 18; pp. 267-269.
  Friday
11/18/05
Section 4.2. Maximum and Minimum Values.
  • Section 4.1. Exercises 23, 25, 27, 29, 31, 37; pp. 267-269.
    Solutions for Section 4.1
  • Section 4.2. Exercises 1*, 2*; pp. 274-277.
10 Monday
11/21/05
Section 4.3. Derivatives and Shapes of Curves.
  • Section 4.2. Exercises 3, 6, 7, 9, 11, 12, 30, 36, 39, 52, 55, 56, 59; pp. 274-277.
    Solutions for Section 4.2
  • Section 4.3. Exercises 1*, 4*; pp. 286-289.
  Wednesday
11/23/05
Section 4.5. Indeterminate Forms and l'Hopital's Rule.
  • Section 4.3. Exercises 2, 3, 5, 6, 7, 12, 20, 24, 27, 30, 32, 34, 49; pp. 286-289.
    Solutions for Section 4.3
  • Section 4.5. Exercise 1*; pp. 303-305.
  Friday
11/25/05
Thanksgiving Recess
No Class
 
11 Monday
11/28/05
Section 4.6. Optimization Problems.
  • Section 4.5. Exercises 4, 7, 9, 14, 20, 26, 33, 37, 43, 58, 66; pp. 303-305.
    Solutions for Section 4.5
  • Section 4.6. Exercises 4*, 7*; pp. 311-315.
  Wednesday
11/30/05
Section 4.6. Optimization Problems.
  Friday
12/2/05
Section 4.7. Applications to Business and Economics.
  • Section 4.6. Exercises 26, 28, 31, 37, 38, 41, 46; pp. 311-315.
    Solutions for Section 4.6
  • Section 4.7. Exercise 1*; pp. 320-322.
12 Monday
12/5/05
Section 4.8. Newton's Method.
  • Section 4.7. Exercises 2, 3, 4, 5, 7, 10, 15, 16, 18, 20; pp. 320-322.
    Solutions for Section 4.7
  • Section 4.8. Exercise 1*; pp. 325-327.
  Wednesday
12/7/05
Section 4.9. Antiderivatives.
  • Section 4.8. Exercises 3, 4, 6, 11, 13, 18, 22, 23, 25, 32; pp. 325-327.
    Solutions for Section 4.8
  • Section 4.9. Exercises 4*, 10*; pp. 332-334.
  Thursday
12/8/05
Review Session for Midterm II
7-9 PM in Science D
 
  Friday
12/9/05
Section 5.1. Areas and Distances.
  • Section 4.9. Exercises 6, 8, 11, 17, 18, 22, 28, 29, 31, 32, 34, 37, 38, 41; pp. 332-334.
    Solutions for Section 4.9
  • Section 5.1. Exercise 2*; pp. 352-354.
13 Monday
12/12/05
Section 5.2. The Definite Integral.
  • Section 5.1. Exercises 3, 13, 14, 15, 17, 19, 20; pp. 352-354.
    Solutions for Section 5.1
  • Section 5.2. Exercise 1*; pp. 364-366.
  Tuesday
12/13/05
Midterm II
7-9 PM in Science B
 
  Wednesday
12/14/05
Section 5.4. The Fundamental Theorem of Calculus.
  • Section 5.4. Exercise 3*; pp. 383-385.
  Friday
12/16/05
Section 5.3. Evaluating Definite Integrals.
  • Section 5.2. Exercises 6, 9, 20, 23, 32, 34, 35, 41, 42, 43, 50, 51; pp. 364-366.
    Solutions for Section 5.2
  • Section 5.3. Exercise 4*; pp. 374-376.
14 Monday
12/19/05
Section 5.5. The Substitution Rule.
  • Section 5.4. Exercises 4, 9, 12, 15, 18, 19, 26, 27, 29; pp. 383-385.
    Solutions for Section 5.4
  • Section 5.5. Exercises 4*, 5*; pp. 392-393.
  Monday
1/9/06
 
  • Section 5.3. Exercises 7, 14, 19, 21, 22, 23, 36, 45, 47, 48, 50, 52, 58, 61, 64; pp. 374-376.
  • Section 5.5. Exercises 6, 14, 16, 18, 21, 30, 37, 47, 50, 53, 54, 63, 65; pp. 392-393.
  Saturday
1/14/06
Final Examination  




January 2, 2006

 
 

URL: http://www.courses.fas.harvard.edu/~math1a/assignments/mwf.tlkt

Copyright ©The President and Fellows of Harvard College
 
   
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Introduction to Calculus

 
 

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