Math 142 Schedule
Fall 2007
Thursday, 6
December
Review for Final!!!
See solutions page for review materials.
Homework
Section
5.5
Section 5.6
Final Exam Monday, Dec 10 from 8 - 10 am in our regular classroom.
Wednesday, 5
December
Sections 5.5 and 5.6
- More complicated anti-derivatives
Areas under curves
Homework
Section
5.5
Section 5.6
Tuesday, 4
December
Worksheet 15
Homework
Section
5.5
Section 5.6
Monday, 3
December
Sections 5.5 and 5.6
- More complicated anti-derivatives
Areas under curves
Homework
Section
5.5
Section 5.6
Thursday, 29
November
Quiz on Section 5.4
Sections 5.5 and 5.6
- More complicated anti-derivatives
Areas under curves
Homework
Section
5.5
Section 5.6
Wednesday,
28
November
Section 5.4
- Fundamental Theorem of Calculus, part II
Homework
Section
5.4
Quiz on Section 5.4 on Thursday
Tuesday, 27
November
Worksheet 14
Homework
Section
5.4
Monday, 26
November
Section 5.4 - Mean Value Theorem for Integrals
Fundamental Theorem of Calculus, Part I
Examples
Homework
Section
5.4
Tuesday, 20
November
Worksheet 13
Homework
Section
5.3
Monday, 19
November
Section 5.3 - average
value of a function.
Definition of a function f being integrable.
Which functions are integrable?
Homework
Section
5.3
Thursday, 15
November
Quiz on Sections 5.1 and 5.2
Wednesday,
14
November
Section 5.2 - Computing
limits of Riemann sums and definite integrals
Homework
Section 5.1
Section 5.2
Quiz
Thursday on these sections.
Tuesday,
13 November
Worksheet 12
Homework
Section 5.1
Section 5.2
Quiz Thursday on these sections.
Monday, 12
November
Section 5.1 - Sigma
notation
Area under the curve (positive and negative)
Calculating area under even and odd functions
Homework
Section 5.1
Quiz Thursday on the Sections 5.1 and 5.2.
Thursday, 8
November
Quiz on Sections 4.6, 4.8
Section 5.1 - Sigma
notation
Area under the curve
Using velocity to approximate distance travelled
Right hand, left hand, and midpoint estimates
Homework
Section 5.1
Quiz Thursday on these sections.
Wednesday,
7 November
Worksheet 11
Homework
Section 4.6
Section 4.8
Quiz Thursday on these sections.
Tuesday,
6 November
Worksheet 11
Homework
Section 4.6
Section 4.8
Quiz Thursday on these sections.
Monday,
5 November
Section 4.8 - Anti-derivatives
Indefinite integral notation
Lots of examples
Homework
Section 4.6
Section 4.8
Thursday,
1 November
Exam 2 Redo
Wednesday,
31
October
Section 4.6 - Indeterminate
forms of type 1^infinity, and other exponential forms
Homework
Section 4.6
Study for retest.
Tuesday, 30
October
Worksheet 10
Homework
Section 4.6
Study for retest.
Monday, 29
October
Section 4.6 - L'Hopital's
method
Indeterminate forms of type 0/0 and infinity over infinity.
Exams returned.
Homework
Section 4.6
Thursday, 25
October
Exam 2
Wednesday,
24
October
Review for Exam 2
Homework
Section 4.3
Section 4.4
Section 4.5
Study for Exam 2 on
Thursday, 25 October. Exam will cover through Section 4.5.
Tuesday, 23
October
Worksheet 9
Section 4.5
Homework
Section 4.3
Section 4.4
Section 4.5
Study for Exam 2 on
Thursday, 25 October. Exam will cover through Section 4.5.
Monday,
22 October
Section 4.3 - Increasing functions
Decreasing functions
Monotonic functions
First derivative test
Section 4.4 - Concave up
Concave down
Test for concavity
Second derivative test
Homework
Section 4.3
Section 4.4
Study for Exam 2 on
Thursday, 25 October. Exam will cover through Section 4.5.
Thursday,
18 October
Quiz on Sections 3.9,
3.10, 4.1, and 4.2
Section 4.2 - Application of MVT
Anti-derivatives
Homework
Section 4.2
Study for Exam 2 on
Thursday, 25 October. Exam will cover through Section 4.5.
Wednesday,
17 October
Section 4.2 - Mean value theorem
Rolle's theorem
Homework
Section 3.9
Section 4.1
Section 4.2
Quiz on
Sections 3.10, 3.9, 4.1, and 4.2 on Thursday, 18
October
Tuesday,
16 October
Worksheet 8
Homework
Section 3.9
Section 4.1
Quiz on
Sections 3.10, 3.9, and 4.1 on Thursday, 18 October
Monday,
15 October
Section
3.9 - Related
rates
Section 4.1 - Absolute
and local maxima and minima
Extreme Value Theorem
Fermat's theorem
Homework
Section 3.9
Section 4.1
Quiz on
Sections 3.10, 3.9, and 4.1 on Thursday, 18 October
Thursday,
11 October
Quiz on Sections 3.7, 3.8, 3.10
Section
3.10 - Differentials
Homework
Section 3.7
Section 3.8
Section 3.10
Wednesday,
10 October
Section
3.10 - linearization
Homework
Section 3.7
Section 3.8
Section 3.10
Quiz on
Sections 3.7 and 3.8 on Thursday, 11 October
Tuesday,
9 October
Worksheet 7
Homework
Section 3.7
Section 3.8
Quiz on
Sections 3.7 and 3.8 on Thursday, 11 October
Monday,
8 October
Section
3.7 - Derivatives
of inverse functions (general formulation)
Derivatives of inverse trigonometric functions
Deriviatives of logarithms (natural and otherwise)
Derivatives of general exponential functions
Using logarithmic differentiation
Homework
Section 3.7
Quiz on
Sections 3.7 and 3.8 on Thursday, 11 October
Thursday,
4 October
Quiz on Sections 3.5, 3.6
Section 3.7 - Derivatives of inverse functions
Deriviatives of logarithms (natural and otherwise)
Derivatives of general exponential functions
Using logarithmic differentiation
Homework
Section 3.7
Quiz on
Sections 3.7 and 3.8 on Thursday, 11 October
Wednesday,
3 October
Section 3.6 - Implicit Differentiation
Homework
Section 3.5
Section 3.6
Quiz on
Sections 3.5 and 3.6 on Thursday, 4 October
Tuesday,
2 October
Worksheet 6
Homework
Section 3.5
Quiz on
Sections 3.5 and 3.6 on Thursday, 4 October
Monday, 1
October
Section 3.5 -
Parametric Equations
Derivatives of parametric equations.
Homework
Section 3.5
Quiz on
Sections 3.5 and 3.6 on Thursday, 4 October
Thursday, 27
September
Quiz 6 on Section 3.4
Section 3.5 - CHAIN
RULE!
Homework
Section 3.5
Quiz on
Sections 3.5 and 3.6 on Thursday, 4 October
Wednesday,
26
September
Section 3.4 - More
on trig. derivatives.
Homework
Section 3.4
Quiz on
Section 3.4 on Thursday, 27 September
Tuesday, 25
September
Worksheet 5
Homework
Section 3.4
Quiz on
Section 3.4 on Thursday, 27 September
Monday, 24
September
Review of trigonometric
functions.
Review of trigonometric identities.
Review of the unit circle
Exams returned.
Homework
Exam 1
rewrites due Monday, 1 October.
Begin looking at Section 3.4
Thursday, 20
September
Exam 1
Wednesday,
19 September
Review for Exam 1
Homework
Section 3.2
Section 3.3
Study for Exam 1 on Thursday, 20 September.
Tuesday,
18 September
Worksheet 4
Homework
Section 3.2
Section 3.3
Start studying for Exam 1 on Thursday, 20 September.
Thursday,
13 September
Quiz on Sections 2.6, 2.7, 3.1
Section 3.2 - Shortcuts.
Power Rule.
Addition and Subtraction Rules.
Constant Multiple Rule.
Product Rule.
Quotient Rule.
Homework
Section 3.2
Start studying for Exam 1 on Thursday, 20 September.
Wednesday,
12 September
Section 3.1 - Derivatives
of constant functions.
Derivatives of linear functions.
Differentiable functions are continuous.
It is not necessarily true that continuous functions are differentiable.
Section 3.2 - Shortcuts.
Power Rule.
Addition and Subtraction Rules.
Constant Multiple Rule.
Homework
Section 2.6
Section 2.7
Section 3.1
Quiz on these sections on Thursday, 13 September.
Tuesday, 11
September
Worksheet 3
Homework
Section 2.6
Section 2.7
Section 3.1
Quiz on
these sections on Thursday, 13 September.
Monday, 10
September
Section 3.1 - definition
of derivative.
Derivative as a function.
Calculating derivatives.
Ways a derivative can fail to exist.
Equations of tangent lines.
Homework
Section 2.6
Section 2.7
Section 3.1
Quiz on these sections on Thursday, 13 September.
Thursday, 5
September
Section 2.6 - composition
of continuous functions is continuous
Intermediate Value Theorem
Section 2.7 - Definition
of derivative at a point
Calculating derivatives from the definition
Homework
Section 2.6
Section 2.7
Quiz on these sections on Thursday, 13 September.
Wednesday, 5
September
Section 2.6 - Continuity
Definition of continuity
4 types of discontinuities
Examples of functions
Homework
Section 2.5
Section 2.6
Bonus:
Hand in the last worksheet problem at the beginning of
class on Thursday, 6 September.
Quiz on these sections on Thursday, 6 September.
Tuesday,
4 September
Worksheet
2
Homework
Section 2.5
Section 2.6
Bonus:
Hand in the last worksheet problem at the beginning of
class on Thursday, 6 September.
Quiz on these sections on Thursday, 6 September.
Monday, 3
September
Labor Day - No class
Thursday, 30
August
Section 2.5 - Limits at Infinity
Polynomial long division.
Graphing.
Plugging in points.
Section 2.6 - Definition
of Continuity
Homework
Section 2.5
Quiz on these sections on Thursday, 7 September.
Wednesday,
29
August
Section 2.4 - end
behavior and limits at infinity.
The trick of dividing by appropriate powers of x.
Section 2.3 - Precise
definition of limit
Finding delta given a certain or generic epsilon.
Homework
Section 2.2
Section 2.4
Quiz on these sections on Thursday, 30 August.
Tuesday,
28
August
Worksheet
1
Homework
Section 2.2
Section 2.4
Section 2.3
Quiz on these sections on Thursday, 30 August.
Monday, 27
August
Section 2.2 -
sandwich theorem
Section 2.4 - end
behavior and limits at infinity.
The trick of dividing by appropriate powers of x.
Homework
Section 2.2
Section 2.4
Quiz on these sections on Thursday, 30 August.
Thursday, 23
August
Quiz on
Sections 1.1, 1.2, 1.3, and 2.1
Section 2.2 -
limit laws and algebraic methods of finding limits
Including limits of absolute value functions.
Remember that the limit of the slope of the secant lines is the slope
of the tangent line
Homework
Section 2.2
Quiz on these sections on Thursday, 30 August.
Remember that the student
questionnaire is due Monday 27 August!
Wednesday,
22
August
Section 2.1 completed
with more limit examples
Section 2.2
begun - more on limit laws tomorrow
Homework
Sections 1.1, 1.2, 1.3
Section 2.1
Quiz on these sections on Thursday, 23 August.
Remember that the student
questionnaire is due Monday 27 August!
Tuesday, 21
August
Section 2.1 completed.
The limit of the average rate of change is the instantaneous rate of
change,
i.e. the limit of the slope of the secant line is the slope of the
tangent line.
Limits of functions, and the unofficial definition.
Homework
Sections 1.1, 1.2, 1.3
Section 2.1
Remember that the student
questionnaire is due Monday 27 August!
Monday, 20 August
Syllabus
Section 2.1 begun, including a brief discussion of average rate of
change (slope of secant line) and instantaneous rate of change (slope
of secant line).
Homework
Sections 1.1, 1.2, 1.3
Begin to look at problems in Section 2.1
Remember that the student
questionnaire is due Monday 27 August!
