Homework:
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Appendix A 1, 2, 4, 6, 7, 9, 17, 19, 23, 26, 44, 45, 49, 52
Appendix B 1, 5, 9, 10, 21, 26, 30, 33, 34, 36, 38, 42, 47, 49, 51
Appendix D 1, 3, 5, 6, 8, 11, 12, 14, 17, 19, 21, 29, 35-38
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1.1: 2, 4, 5-8, 10, 20, 21, 23, 27-29, 37, 41
1.2: 1-4, 7, 18
1.3: 2, 3, 9, 15, 29, 33, 41-43
1.4: skip
1.5: 3, 5, 11, 15, 17, 21, 29
1.6: 1-11 (odd numbered problems only), 17, 21, 29, 37, 39, 41, 42
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2.1 2, 5 2.2 1-3, 5, 10, 17, 29, 31, 33
2.3 2, 13, 14, 17, 19, 41, 45, 49
2.4: skip
2.5: 1-7, 13, 20, 21, 35, 36, 51, 53
2.6: 1, 3, 5, 7, 18, 19, 21, 23, 29-32, 41, 42
2.7: 5, 7, 19, 21, 27, 31
2.8: 1, 3, 9, 15, 16, 17
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3.1: 5, 11, 19, 21, 27, 28, 39
3.2: 5, 8, 18, 24-27, 31, 33, 43
3.3: 1, 3, 7, 10, 12, 21, 22
3.4: 4-7, 10, 12, 17, 20, 24, 33, 35, 39, 42, 55, 63
3.5: 1, 9, 11, 13, 22, 28
3.6: 4, 9-12, 16, 19, 24, 26, 34, 39, 45
3.9: 1, 4, 5, 7, 8, 17, 21, 29
3.10: 1, 3, 11, 13, 15, 19, 28
3.11: no homework on this
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4.1: 1, 2, 4, 7, 15, 21, 27, 32, 38, 47, 49
4.2: 2, 3, 9, 24
4.3: 1, 2, 9, 12-14, 19, 21, 32, 35, 46
4.4: 8, 11, 13, 17, 18, 20, 30, 45, 49, 51, 55, 57, 59
4.5: 5, 9, 17, 65
4.7: 3, 8, 12, 13, 19, 31, 34
4.8: 1, 4, 7, 13, 15
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4.9: 3, 4, 7, 9, 11, 15, 31, 36, 41, 45
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5.1: 1, 5, 13, 19.
5.2: 1, 7, 9, 19, 33, 36, 37, 39.
5.3: 5, 8, 11, 23, 25, 29, 30, 31, 37, 41, 55
5.4: 1, 9, 18, 26, 31-35, 43, 45, 51, 60, 62.
5.5: 3, 4, 6, 11, 20, 26, 28, 36, 39, 44, 55, 60, 69.
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7.1: 3, 5, 7, 9, 15, 19, 21, 23, 27, 33.
Topics:
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Hours 2-2 Real Numbers, Sets, Inequalities, Absolute Value Appendix A
Hours 1-3 Coordinate Geometry and Lines Appendix B
Hours 1-4 Trigonometry Appendix D
Hours 1-5 Function Concept and Representations; Domain and Range 1.1
Hours 1-6 Essential Elementary Functions; New Functions from Old 1.2-1.3
Hours 2-8 Exponentials, Inverse Functions and Logarithms 1.5, 1.6
Hours 1-9 Limit Concept; Limit Calculation Laws 2.1-2.3
Hours 1-10 Continuity 2.5
Hours 1-11 Limits at Infinity; Horizontal Asymptotes 2.6
Hours 1-12 Derivatives and Rates of Change 2.7
Hours 1-13 Derivatives as Functions 2.8
Hours 1-14 Derivatives of Polynomials and Exponential Functions 3.1
Hours 1-15 Product and Quotient Rules 3.2
Hours 1-16 Derivatives of Trigonometric Functions 3.3
Hours 2-18 The Chain Rule 3.4
Hours 1-19 Implicit Differentiation 3.5
Hours 1-20 Logarithmic Differentiation 3.6
Hours 2-22 Related Rates 3.9
Hours 2-24 Linear Approximations; Differentials; Error Estimation 3.10
Hours 1-25 Derivatives of Hyperbolic Functions 3.11
Hours 1-26 Maximum and Minimum Values; Main Value Theorem 4.1-4.2
Hours 1-27 How Derivatives Affect Graph Shapes 4.3
Hours 1-28 Indeterminate Forms and L'Hospital's Rule 4.4
Hours 1-29 Curve Sketching 4.5
Hours 2-31 Optimization Problems 4.7
Hours 1-32 Newton's Method 4.8
Hours 1-33 Anti-derivatives 4.9
Hours 1-34 Areas and Distances 5.1
Hours 1-35 The Definite Integral 5.2
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Hours 1-36 The Fundamental Theorem of Calculus 5.3
Hours 1-37 Indefinite Integrals and Net Change Theorem 5.4
Hours 1-38 The Substitution Rule (Change of Variable) 5.5
Hours 2-40 Integration by Parts 7.1
Hours 5-45 Reviews, Exams, Holidays
Calendar:
January 2014
Sat/Sun
Monday
Appendix A:
Numbers, Inequalities
and Absolute Values
and
Appendix B:
Coordinate Geometry
and Lines
Tuesday
Appendix D:
Trigonometry
4/5
7
Wednesday
Chapter 1 (1.11.3)
1.1: Four ways to
represent a
function;
1.2: Mathematical
Models: A catalog
of essential
functions
1.3: New functions
from old functions
6
Thursday
(Sections 1.5, 1.6)
1.5: Exponential
Function
1.6: Inverse
Functions and
Logarithms
Friday
Exam
1 at
11am
Sample
Exam and Solutions
10
9
8
11/12
Chapter 2 (2.12.3): Calculus
2.1 The tangent and
velocity problems
2.2 The limit of a
function
2.3 Calculating limits
using the limit laws
(Sections 2.5, 2.6)
2.5 Continuity
2.6 Limits at Infinity:
Horizontal
Asymptotes
(Sections 2.7, 2.8)
2.7 Derivatives
and Rates of
Change
2.8 The derivative
as a function
Chapter 3 (Section
3.1)
3.1 Derivatives of
Polynomials and
Exponential
Functions
Exam
2 at
11am
14
15
17
16
13
Holiday
NO CLASS
18/19
20
(Section 3.2, 3.3, 3.4)
3.2 The product and
the quotient rules
3.3 Derivatives of the
Trig functions
3.4 The Chain Rule
21
(Sections 3.5, 3.6,
3.11)
3.5 Implicit
Differentiation
3.6 Derivatives of
Logarithmic Fnc
3.11 Hyperbolic
functions
(Section 3.9 and
Sections 3.10)
3.9 Related rates
3.10 Linear
Approximations
Review Ch 3
Exam
3 at
11am
23
24
(Sections 4.8, 4.9)
4.8 Newton's
Method
4.9 Antiderivatives
Exam
4 at
11am
22
25/26
Chapter 4 (4.1-4.3)
4.1 Maximum and
Minimum value
4.2 The Mean Value
Theorem
(Sections 4.4, 4.5)
4.3 How derivatives
Affect the Shape of a
Gr
4.4 Indeterminate
Forms and L’Hospital
(Section 4.7)
4.5 Summary of
Curve sketching
4.7 Optimization
Problems
30
Rule
27
29
31
28
February 2014
Sat/Sun
Monday
Chapter 5 (5.1-5.2)
5.1 Areas and distances
5.2 The Definite Integral
3
Tuesday
Wednesday
(Sections 5.3, 5.4)
5.3 The Fundamental
Theorem of Calculus
5.4 Indefinite Integral
and the Net Change T
(Section 5.5)
5.5 The Substitution
Rule
(Section 7.1)
7.1 Integration by
Parts
5
6
1/2
4
8/9
NO CLASS
Final review and solutions
10
MA 1114 starts
with Prof. Carr
Thursday
Friday
Exam
5 at
11am
7