Math 1101 Calculus I

Week 1:
Mon
No Class: Martin Luther King Day
Tue
Course Introduction
Brain...Warming...Up...
Cube Root of -1
Brain Solutions
Wed
1.1 Four Ways to Represent a Function examples
Lecture Notes
Functional Notation
Fri
1.2 Mathematical Models: Catalog of Essential Functions examples
The Twelve Basic Functions
1.2.25.nb (MMA example)

Week 2:
Mon
1.3 New Functions from Old Functions examples
Tue
Mathematica Introduction:
Work through MMA Basics and MMA Introduction
Do examples in Section 1.4 using Mathematica
Wed
1.5 Exponential Functions examples
Fri
1.6 Inverse Functions and Logarithms examples

Week 3:
Mon
1.6 Inverse Functions and Logarithms
Tue
Test 1: 1.1-1.3, 1.5, 1.6 Review Notes for Chapter 1
Wed
2.1 The Tangent and Velocity Problems examples
Animation of Secant Approaching Tangent
Fri
2.2 The Limit of a Function examples

Week 4:
Mon
2.3 Calculating Limits Using the Limit Laws examples
MMA Practice
Tue
2.5 Continuity examples
Wed
2.6 Limits at Infinity; Horizontal Asymptotes examples
Fri
2.7 Derivatives and Rates of Change examples
MMA Practice
Graphical picture of derivative

Week 5:
Mon
2.8 The Derivative as a Function
Mathematica Notebook
examples
A function with a sharp corner
Tue
Test 2: 2.1-2.3, 2.5-2.8 Notes | review problems | Concept Map
Wed
3.1 Derivatives of Polynomials and Exponential Functions examples
Notes: The Other Derivative Proofs
Fri
3.2 The Product and Quotient Rules examples
Examples from the lecture
MMA Derivative Syntax

Week 6:
Mon
More on 3.1 and 3.2: Derivative Rules and Proofs
Tue
3.3 Derivatives of Trigonometric Functions examples
Trigonometry Review
MMA File
Wed
3.4 The Chain Rule examples
MMA Practice
Chain Rule: Graphical Interpretation
Derivative Calculator on Web
Fri
3.5 Implicit Differentiation examples

Week 7:
Mon
3.6 Derivatives of Logarithmic Functions examples
MMA Practice
Tue
3.7 Rates of Change in Natural and Social Sciences examples
FishFarm.nb (MMA file)
Sounds.nb (MMA file)
Wed
3.9 Related Rates Examples from the lecture
Fri
3.9 Related Rates examples

Week 8:
Mon
3.10 Linear Approximation and Differentials examples (questions like these will not be on the test, but they give you an idea of the power of the techniques we learned in Chapter 3)
Tue
Test 3: 3.1-3.7,3.9 review problems | Concept Map
Wed
4.1 Maximum and Minimum Values examples
Fri
4.2 The Mean Value Theorem

Week 9:
Mon
4.3 How Derivatives Affect the Shape of a Graph examples
Tue
4.4 Indeterminate Forms and l'Hospital's Rule examples
Application in Biology (paragraph three in Model Implications)
Wed
4.4 Indeterminate Forms and l'Hospital's Rule
Fri
4.5 Summary of Curve Sketching

Week 10:
Mon
4.7 Optimization examples
MMA Practice
Examples from lecture
Tue
4.7 Optimization Problems
Wed
4.8 Newton's Method examples (MMA)
Mathematica (Newtons Method)
Fri
4.9 Antiderivatives examples

Week 11:
Mon
Review
Tue
Test 4: 4.1--4.5, 4.7, 4.8 review problems
Wed
5.1 Areas and Distances examples
MMA
Fri
5.2 The Definite Integral examples

Week 12:
Mon
5.2 The Definite Integral Estimating Areas (MMA file)
Tue
5.3 The Fundamental Theorem of Calculus examples
MMA Practice
Wed
5.4 Indefinite Integrals and the Net Change Theorem examples
How to Remember the Basic Integrals
Examples from the lecture
Animations of Position and Velocity
Fri
5.5 The Substitution Rule examples

Week 13:
Mon
5.5 The Substitution Rule Examples from the lecture
Tue
Test 5: 5.1-5.5 review problems | Glossary
Wed
10.1 Curves Defined by Parametric Equations
10.2 Tangents and Areas
examples
Mathematica (parametric functions)
Fri
Handout: Surfaces & Traces
MMA file
MMA (Surfaces and traces)

Week 14:
Mon
Handout: Space Curves & Contour Plots MMA (space curves and contour plots)
Mathematica (intersections, contour plots)
Software using Surface Intersection
Weather Pattern Contour Plots
Topographical Maps
Tue
Handout: Partial Derivatives MMA (partial derivatives)
tangent line animations | MMA
Wed
Handout: Partial Derivatives
Fri
Handout: Extrema
Extrema Examples
MMA (extrema)

Week 15:
Mon
Review, deeper look at some topics
Tue
Review, deeper look at some topics Glossary Quiz | Solution
Wed
Review, deeper look at some topics
Fri
Review, deeper look at some topics

Office Hours Sci 1380:
Drop-in Office Hours (no appointment needed) are listed on google calendar.

Appointment:
UMM students may sign up for an appointment using google calendar.

Email:
mcquarrb@morris.umn.edu

Phone:
589-6302
(I do not use voicemail)