Tentative Class Schedule
Math&163: Calculus 3
Days
1-2
1/6-1/8
3-4
1/13-1/15
5-6
1/20-1/22
Tuesday
Sequences
Infinite Series
Alternating Series
Other Convergence Tests
Quiz #1
Taylor and Maclaurin Series
Quiz #3
7-8
1/27-1/29
9-10
2/3-2/5
Vectors in Three Dimensions
Test #1
Lines and Planes
Graphs in Three Dimensions
Quiz #4
11-12
2/10-2/12
13-14
2/17-2/19
15-16
2/24-2/26
Arc-Length & Curvature
Quiz #6
Review
Functions of Several Variables
Partial Derivatives
17-18
3/3-3/5
19-20
3/10-3/12
Directional Derivatives
Optimization
Quiz #9
Double Integrals
Review
21-22
3/17-3/19
Presentations
Review
Section 1
Winter, 2015
Thursday
Integral Test
Comparison Tests
Absolute Convergence
Power Series
Quiz #2
Binomial Series
Taylor Series Approximation
Review
Dot Product
Cross Product
Vector Functions
Arc-Length & Curvature
Quiz #5
Motion in Space
Quiz #7
Limits
Test #2
Tangent Planes and Approximation
Chain Rule
Quiz #8
Lagrange Multipliers
Quiz #10
Iterated Integrals,
Presentations
Test #3
Final Exam
Course Outcomes:
Learn Actively - Learning is a personal, interactive process that results in greater expertise and a more
comprehensive understanding of the world.

Apply and create experiments and projects that integrate the use of calculus in problem solving

Take responsibility for accessing and using a variety of sources for assistance in learning
about calculus

Apply problem solving and mathematical modeling to real situations in other disciplines and life

Integrate technology into problem solving

Participate in interdisciplinary groups to solve real problems

Select the most effective integration technique to solve a given problem
Think Critically, Creatively and Reflectively -- Reason and imagination are fundamental to problem solving and
critical examination of ideas.

Use deductive and inductive reasoning in applying calculus to real-life situations

Analyze, compare and contrast processes and procedures -- the "rules" of calculus

Contrast and critique various approaches to problem solving and modeling

Follow, evaluate and write solutions to mathematical problems,

Read and write mathematical arguments and proofs
Communicate with Clarity and Originality - The ability to exchange ideas and information is essential to
personal growth, productive work, and societal vitality.

Listen, speak, read and write mathematical presentations that use mathematical vocabulary, notation,
and graphical interpretations

Express concepts in both standard and innovative forms

Explain how answers were created -- stating assumptions made and conclusions supported by
the analysis

Formulate and criticize mathematical conjectures and conclusions
Interact in Diverse and Complex Environments - Successful negotiation through our increasingly complex,
interdependent and global society requires knowledge and awareness of self and others, as well as
enhanced interaction skills.

Demonstrate effective use of group process

Respect individual ways of arriving at answers, expressing results and processing information

Refine processes of estimation and problem solving solution in variety of real-life situations

Translate notational differences between cultures

Recognize the biases/limitations of mathematical thinking and models

Integrate the history of calculus into the history of the world