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Course Schedule & Activities

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Author: Alex Himonas
This page describes the chronology of MATH 10250, Elements of Calculus I. It also provides links to the activity worksheets and lists the homework assignments.

Using the course schedule

The course schedule gives the chronology of the course as taught by Prof. Alex Himonas at the University of Notre Dame in Fall 2008.  The Section column refers to the sections in the course textbook.  The Topic column indicates what material is covered in the corresponding section.  Some topics include links to interactive applets.  These applets allow students or instructors to interactively explore the course.  These applets were developed independent of this course so occasionally their sequence does not agree with the course schedule.  The Calculus Applets page shows the applets in the chronology intended by their authors.  The Activity column provides links to the in-class activity worksheets that Prof. Himonas uses in his classes.  The Notes/Homework column indicates which homework problems from the textbook are assigned, or - if no homework is assigned - what other events are approaching such as exams.

Textbook: Calculus: Ideas and Applications (ISBN 0471654957), by Alex Himonas and Alan Howard.

Course Schedule Information

Lesson Section(s) Topic (w/ interactive applets) PDF icon Activity Notes / Homework
1 0.2
0.3
Functions
Geometric Properties of Functions
Act. 1
(806.4 kB)
0.2: 3,5,10,28,33,34,37,41
0.3: 6,8,17,18,29,40
2 0.4
0.5
Linear Functions
Quadratic Functions
Act. 2
(424.7 kB)
0.4: 6,15,18,25,26,31,34
0.5: 1,6,9,14,22
3 0.6 Polynomials, Rational Functions, Power Functions Act. 3
(247.0 kB)
0.5: 26, 27
0.6: 1, 2, 5, 8,13,19, 36 37, 40
4 1.1 (Informal) Limits Act. 4
(1.2 MB)
1.1: 9, 10, 15, 21, 24, 30, 32, 39, 40, 43
5 1.1
1.2
(Informal) Limits
More about Limits and Asymptotes
Act. 5
(442.1 kB)
1.1: 1, 2, 4, 46, 49, 56
1.2: 2, 3, 8, 13





6 1.2
1.3
More about Limits and Asymptotes
(Informal) Continuity
Act. 6
(454.8 kB)
1.2: 19, 24, 26, 32, 35, 37
1.3: 1, 4, 6, 10, 11
7 1.3 (Formal) Continuity Act. 7
(255.6 kB)
1.2: 39, 43
1.3: 13, 15, 16, 22, 28, 29, 39, 42
8 2.1 Exponential Functions Act. 8
(240.2 kB)
1.3: 46, 48, 50
2.1: 3, 4, 12, 17, 23, 29
2.2: 5, 6
9 2.2 Compound Interest and the Number e Act. 9
(68.4 kB)
2.1: 31, 33
2.2: 3, 4, 7, 9, 10, 13, 20
10
Review Exam 1 tomorrow
11 2.3 Logarithmic Functions Act. 10
(77.2 kB)
2.3: 1, 5, 8, 18, 25, 34, 37, 38
Ch 2 Rev (p. 157): 2, 3
12 2.4 Natural Logarithm and Applications Act. 11
(77.1 kB)
2.4: 1, 4, 16, 33, 35, 39, 43, 58, 66, 67
13 3.1 The Slope of a Graph Act. 12
(78.7 kB)
2.4: 72, 76
3.1: 1, 2, 3, 4, 9, 16, 19, 25, 34
14 3.2 The Derivative of a Function Act. 13
(78.5 kB)
3.2: 2, 10, 13, 15, 21, 23, 27, 30, 36, 40, 49
15 3.3 The Derivative as a Rate Act. 14
(54.9 kB)
3.2: 52a, 55
3.3: 3, 5, 6, 7, 12
16 3.3 The Derivative as a Rate Act. 15
(66.3 kB)
3.3: 16, 17, 18, 19, 24, 25, 29, 33, 38, 40, 44, 45
17 3.4 Differentiability and Linear Approximation Act. 16
(71.8 kB)
3.3: 39
3.4: 1, 4b, 6b, 19, 20, 21, 29, 38, 41
18 3.5 Derivatives of Log and Exp Act. 17
(71.2 kB)
3.4: 45, 47
3.5: 4, 5, 8, 12, 15, 25, 28, 31, 33, 49
19 3.6 Product and Quotient Rules Act. 18
(68.2 kB)
3.5: 55, 58, 62, 63, 66
3.6: 1, 5, 7, 12, 13, 18
20 3.7 Chain Rule Act. 19
(73.2 kB)
3.6: 23, 30, 31
3.7: 1, 5, 10, 18, 26, 32, 39, 44, 47, 52
21
Review Exam 2 tomorrow
22 3.8 Implicit Differentiation and Related Rates Act. 20
(77.0 kB)
3.7: 3, 13, 51
3.8: 7, 8, 10, 13
23 4.1 First Derivative Test Act. 21
(84.0 kB)
3.8: 16, 17, 21, 22, 29
4.1: 3, 4, 6, 11, 17, 19


Mid-term Break
24 4.1 First Derivative Test Act. 22
(51.2 kB)
4.1: 23, 25, 26, 27, 28, 32, 35, 41, 48, 53
25 4.2 Second Derivative Test (Concavity) Act. 23
(61.2 kB)
4.1: 55, 59, 63
4.2: 1, 2, 5, 9, 14, 16, 19
26 4.2 Second Derivative Test (Local max/min) Act. 24
(55.7 kB)
4.2: 22, 27, 32, 33, 39, 40, 42, 46, 48
27 4.3 Sketching Graph Act. 25
(51.7 kB)
4.3: 1, 4, 7, 11, 16, 20, 21, 25, 29, 32
28 4.4 Optimization and Applications Act. 26
(52.8 kB)
4.3: 15, 19, 34
4.4: 1, 4, 6, 9
29 4.4
4.5
Optimization and Applications
Applied Optimization Problems
Act. 27
(53.1 kB)
4.4: 13, 15, 19, 21, 28, 31
4.5: 1, 2, 4, 9, 11
30 4.5 Applied Optimization Problems Act. 28
(47.4 kB)
4.5: 12, 15, 19, 23, 25, 28, 29
31 5.1 The Definite Integral Act. 29
(64.6 kB)
5.1: 1, 2, 7, 8, 14, 15, 18, 19 , 27, 35, 37, 41
32 5.1
5.2
The Definite Integral
Integration by Substitution
Act. 30
(59.2 kB)
5.1: 46, 49, 53, 55, 62, 63, 70, 76
5.2: 1, 4, 10
33 5.2 Integration by Substitution Act. 31
(36.8 kB)
5.2: 15, 18, 19, 23, 28, 39, 41
34 5.3 Integration by Parts and Partial Fraction Decomposition Act. 32
(49.2 kB)
5.3: 1, 2, 3, 7, 8, 9, 14, 15, 18, 31, 32
35
Review Exam 3 tomorrow
36 5.4 Area and Definite Integral Act. 33
(104.3 kB)
5.3: 41, 55, 59, 71
5.4: 1, 2, 3, 4, 6, 7
37 5.4
5.5
Area and Definite Integral
The Fundamental Theorem of Calculus
Act. 34
(83.3 kB)
5.4: 15, 19, 23, 25, 33
5.5: 9, 17, 26, 32, 36
38 5.5
5.6
The Fundamental Theorem of Calculus
Computing Definite Integrals, Areas, and Averages
Act. 35
(61.9 kB)
5.5: 47, 56, 57
5.6: 3, 10, 15
39 5.6
5.7
Computing Definite Integrals, Areas, and Averages
Numerical Methods
Act. 36
(80.9 kB)
5.6: 17, 21, 33, 36, 48
5.7: 3a (no error), 8, 9, 17
40
Final Exam Review Projects Due
41
Final Exam Review Final tomorrow
Reuse Course
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