MATH 141, Calculus 1, Sections 01 and 02


Bob Secrist

Math 141 Spring 2008 Class Schedule
with links to assignments and notes.

The due date is the final date for completing the session.  The study material is given in the Reading column and the assignments are given in the Activity column.  You will want to print copies of this schedule and place one next to your computer and one in your calculus notebook.

You may access the notes and assignments at http://academic.kellogg.edu/secristb/.  Click on "Course Materials" and then on Calculus Math 141 (Traditional).  Then you will see links to both the syllabus and schedule.  Now click on schedule and you will see the schedule with links to both the class notes and the assignments. 

Session

Due
Date

Topic

Reading

Activities
To be completed by the due date

Week1
1

 Jan 15
Tues

Course introduction and Administration

Course Introduction,

Session 1 Assignment

2

Jan 16
Wed		 REVIEW
Lines and slope.
Functions and their graphs.		 Chapter 1,
  • Sec 1.2, pages 10-12
  • Sec 1.3, pages 19-25
  • Sec 1.4, pages 28-25
  • Sec 1.5, pages 40-41 
  • Session 2 notes.
 Session 2 assignment

3

Jan 17
Thurs		 MORE REVIEW
Exponential functions and their inverses.
Trigonometric functions and their inverses.		 Chapter 7,
  • Sec 7.1, pages 466-468
  • Sec 7.2, pages 476-477, 479-480
  • Sec 7.3, pages 486-489
  • Sec  1.6, pages 48-53,
  • Sec 7.7, 517-519
  • Session 3 notes.
 Session 3 assignment

Week2
 4

Jan 22
Tue		 LIMIT
Definition of limit.
Evaluation limits and one-sided limits. 		Chapter 2,
  • Sec 2.1, pages 73-81
  • Sec 2.2, pages 84-89
  • Sec 2.4, pages 102-107 
  • Session 4 notes.
 Session 4 assignment

Week3
5

Jan 30
Wed		 MORE LIMITS and CONTINUITY
Continuity.
Limits involving infinity.
Rates of change and tangent lines.
 Chapter 2,
  • Sec 2.1, pages 73-77
  • Sec 2.4, pages 107-111,
  • Sec 2.5, pages 115-121,
  • Sec 2.6, pages 124-132,
  • Sec 2.7, pages 134-138. 
  • Session 5 notes.
 Session 5 assignment

 

 Jan 31
Thur

UNIT I TEST over the studied sections of Chapters 1, 2, and 7.

  Review

 

Week4
6

Feb 4
Mon		 DERIVATIVE
Definition of a derivative function.
Slope, tangents, and equations of tangents.
Concept of differentiable function.
Derivative and continuity.
 		 Chapter 2,
 - Sec 2.7, pages 136-139;
Chapter 3,
- Sec 3.1, pages 147-151, page 152-155. 
- Session 6 notes.		 Session 6 assignment
7 Feb 6 Wed DIFFERENTIATION FORMULAS
Five rules for differentiation.
Equation of tangent line
Derivatives of products, quotients and negative powers.
Higher order derivatives.		 Chapter 3, Session 7 assignment

8

Feb 7
Thurs		 DERIVATIVE AS A RATE OF CHANGE
Velocity.
Acceleration.
Economics application. 		Chapter 3, Session 8 assignment

Week5
9

Feb 11
Mon		 DIFFERENTIATION FORMULAS CONTINUED
Derivatives of trigonometric functions.		 Chapter 3, Session 9 assignment
10 Feb 13
Wed		 DIFFERENTIATION OF COMPOSITE FUNCTIONS
The Chain Rule.
Parametric equations.		 Chapter 3, Session 10 assignment


11

Feb 15
Fri		 IMPLICIT DIFFERENTIATION
Implicit differentiation.
Related rates.		 Chapter 3, Session 11 assignment

Week6

 Feb 18
Mon

UNIT II TEST over chapter 3.

  Review

 

12

Feb 20
Wed

 

 APPLICATIONS OF DERIVATIVES: MEAN-VALUE THEOREMS.
Extreme values.
Rolle's Theorem and Mean Values Theorem.		 Chapter 4, Session 12 assignment


13

Feb 22
Fri		 APPLICATIONS OF DERIVATIVES: CURVE SKETCHING
Relative extrema and graphs.		 Chapter 4, Session 13 assignment

Week7
14

Feb 27
Wed		 APPLICATIONS OF DERIVATIVES: MORE CURVE SKETCHING
Concavity and points of inflection.
Graphing with calculus and calculators.		 Chapter 4, Session 14 assignment

15

Feb 29
Fri
 		 APPLICATIONS OF DERIVATIVES: OPTIMIZATION
Optimization.		 Chapter 4, Session 15 assignment

Week8
16

Mar 4
Tue		 LINEARIZATION
Linearization.
Differentials and applications.
Newton's Method.		 Chapter 3, Session 16 assignment

 

 Mar 5
Wed

UNIT III TEST over Chapter 4 and Section 3.8.

  Review

 

17

Mar 7
Fri

ANTIDERIVATIVE
Antiderivatives and indefinite integrals.

Chapter 4,

Session 17 assignment

Week9
18

 Mar 11
Tue		 ANTIDERIVATIVE RULES
Rules for constant multiple, sum, trigonometric, powers.		 Chapter 4, Session 18 assignment

19

 Mar 13
Thur		 APPLICATIONS
Initial-Value Problems
velocity, acceleration, initial data.		 Chapter 4, Session 19 assignment


20

 Mar 14
Fri		 SIGMA NOTATION and RIEMANN SUM
Sigma - summation notation and theorems.
Riemann Sum.
Rectangles for Riemann Sum.
 Chapter 5, Session 20 assignment

Week 10
21

 Mar 18
Tue		 DEFINITE INTEGRAL
Definition of a definite integral.
Integration rules.
Geometric interpretation of definite integral.
 		 Chapter 5, Session 21 assignment

22

 Mar 20
Thur		 FUNDAMENTAL THEOREM OF INTEGRAL CALCULUS
Mean-value Theorem.
Fundamental theorem of integral calculus.
 		 Chapter 5, Session 22 assignment
Week 11
23		 Mar 25
Tue		 CHANGE OF VARIABLE
Substitution method of indefinite integration.
Change of variable in integration. 		Chapter 5,

 

 Session 23 assignment

 

24

 Mar 27
Thur		 CHANGE OF VARIABLE
Substitution method of definite integration.
Change of variable in definite integration.
Chapter 5, Session 24 assignment

 

 Mar 28
Fri

UNIT IV TEST over Chapters 4 and 5.

  Review

 
Week
12
25		 Apr 1
Tue		 AREA BETWEEN CURVES
Geometric Interpretation of Definite Integral.
Evaluating areas.
 Chapter 5,
  • Sec 5.1, pages 325-328.
  • Sec 5.2, pages 340-342
  • Sec 5.3, pages 363-364
  • Sec 5.6, pages 378-383.
  • Session 25 notes.
 Session 25 assignment

26

 Apr 3
Thur		 SOLIDS OF REVOLUTION
Volumes by slicing.
Volumes of solids of revolution by disk method.
 Chapter 6, Session 26 assignment

 

27

 Apr 4
Fri		 SOLIDS OF REVOLUTION
Volumes of solids of revolution by shell method.
 Chapter 6, Session 27 assignment

Week
13
28

 Apr 15
Tue		 ARC LENGTH
Lengths of plane curves.
 Chapter 6, Session 28 assignment


29

 Apr 17
Thur		 WORK
Work and Hooke's Law.
Work in pumping and lifting.
 Chapter 6, Session 29 assignment

Week
14

30

 Apr 21
Mon		 CENTROIDS
Center of mass, moments.
 Chapter 6, Session 30 assignment

 

 Apr 22
Tue

UNIT V TEST over Chapter 6.

  Review

 

31

 Apr 24
Thur		 LOGARITHMS
The natural logarithm function.
Derivative of logarithmic function.
Laws of logarithms.
Integrate 1/u.
Logarithmic differentiation.
 		 Chapter 7, Session 31 assignment

32

 Apr 25
Fri		 EXPONENTIALS
Derivative of inverse function.
The number e.
Derivative of exponentials.
Integration of exponentials.
 Chapter 7, Session 32 assignment

Week 15

33

 Apr 29
Tue		 EXPONENTIALS - BASE a
Derivatives of base a exponentials
Integrals with base a exponentials.
Derivatives with base a logarithms
Integrals with base a logarithms.
 Chapter 7, Session 33 assignment

 

 Apr 30
Wed

UNIT VI TEST over Chapter 7.

  Review

 

 

 May 1-6
Mon		 REVIEW - FINAL  EXAM
Review for the final examination, Practice final examination, Final examination.		 All previous material.