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Next: MATH AS A SECOND LANGUAGE
TABLE OF CONTENTS
MATH AS A SECOND LANGUAGE - Section 1
Working with Maple
Linear models
Quadratic and polynomial models
Dealing with Data I: A ``simple" linear fit
One-Dimensional Motion
Introduction to Chemistry
Classification of Matter
Do We Take Atoms for Granted?
The Most Useful Functions for Science
Exponentials
Trigonometric functions
Parametric Equations
Homework Problems for Week 1
Assignments for Week 1
DESCRIBING HOW THINGS CHANGE - Section 2
The Derivative
Velocity
Derivatives
Derivatives at Work and at Play
Differential Equations
The Growth of Populations
What About The Force?
Force Revisited
Derivatives and Chemistry
Homework Problems for Week 2
Assignments for Week 2
CONSERVING EQUATIONS - Section 3
Math Unit III: More on the derivative and differential equations
Newton's Laws in Action
Momentum Conservation in Nuclear Physics
Momentum Conservation in Space Science
Rocket Motion
What's Your Reaction?
The Steady-State Approximation
Second-order differential equations
Chaotic systems
Homework Problems for Week 3
Assignments for Week 3!
COMPLETING THE CIRCLE - Section 4
Energy Redux
Motion in Two Dimensions
Vectors
Circular Motion
Connection between circular motion and oscillations
Rotational Dynamics
Rotational Dynamics Continued
Moments of Inertia
Rolling Motion
Rolling Motion Continued
Statics
Angular Momentum
Homework Problems for Week 4
Assignments for Week 4!
Quiz for Week 4!
Gravitational Force
Kepler's Laws...
Attractive Applications
The Electric and Magnetic Fields
The Electric Field
The Magnetic Field
More Mechanisms: A Model of Enzyme Kinetics
Lineweaver-Burk Plot
SUPPLEMENTARY INFORMATION
Solutions for Week 1 Selected Problems
Solutions for Week 2 Selected Problems
Solutions for Week 3 Selected Problems
Solutions for Week 4 Selected Problems
Overnight Quiz
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