Calculus Math

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About 1600 A.D., 'thinkers' began to seriously study motion--from planets to pendulums. They were asking questions like-What is speed? What is acceleration? How high? How far? What is the shortest path? This led to the idea of "rate of change at any given instant". From this simple idea was born the calculus, and its applications have been expanding ever since. The following are just a few of the things that calculus is used for.

Just a few uses

1.GRAVITY-escape velocity, moments, centre of gravity, spring

2.ELECTRICITY-alternating current, resonance, radio, television

3.LIGHT-photography

4.SOUND-vibrating string, music

5.HEAT-entropy, cream in coffee

6.MAGNETISM-potential

7.WATER FLOW-dams, tides

8.AIRCRAFT DESIGN-flow of air

9.ARCHITECTURE-arch, cantilever, area, volume

10.HIGHWAYS-curves, grades

11.TRAJECTORIES-space, warfare

12.NAVIGATION-astronomy, gyroscope

13.COMPOUND INTEREST-at what rate are you becoming wealthy

14.ECONOMICS-statistics, depreciation

15.CHEMISTRY-solutions

16.ATOMIC THEORY-

17.RADIOACTIVE DECAY-

18.BIOLOGY-pollution, growth of bacteria, acid rain

19.MEDICINE-flow of blood, cooling

20.TRACK AND FIELD-high jump, shot put

21.-PHILOSOPHY-proof that God exists

Units Covered in the Course

Unit 1 Introduction

-finding the equations of tangents

-finding average and instantaneous rates of change

-first principles




Unit 2 Limits

-concept of limit

-algebraic evaluation skills for indeterminate limits




Unit 3 Derivative Rules

-power rule

-constant

-power of a function

-product rule

-quotient rule

-chain rule

-implicit differentiation




Unit 4 Applications of Derivative

-tangents

-velocity, acceleration

-natural, social sciences

-related rates

-maximum, minimum




Unit 5 Curve Sketching using Calculus and Derivatives

-asymptotes

-first, second derivatives-maximum, minimum, points of inflection




Unit 6 Trigonometry and Calculus

-sum, difference, double and half angles

-identities

-equations and intersections

-derivatives of trig ratios

-applications




Unit 7 Logarithms, Exponents and Calculus

-fundamental limit and e

-derivative of logs and ln

-growth, decay

-applications




Unit 8 Antiderivatives

-solving differential equations

-applications

-integrals

-areas between curves




Keys to Calculus Success

A.

1."Perfected" algebraic skills of factoring, radical simplification, exponent analysis

2.Trigonometric knowledge and skills

3.Exponent knowledge and skills

4.Graphing skills

B.

1.Commitment

2.Excellent work habits

3.Perserverence



The Task Bank


Here you can type in the name of your problem, the person that you want the answer sent to with their e-mail address. In the box provided you can type in your actual problem, and they will send the answer back to you.

An Index to TONS of Calculus sites on the Web

This index is devoted to Calculus Sites. There are over 150 sites listed on this page, free for any student to look for what they need. If Calculus is a course you are currently taking, or thinking of taking, check out this list.

An Index of Sites for high school math.

Lots of sites to pick from on many subjects including Algebra/Geometry, Finite, Calculus, and other high school math topics.

An Index of Trigonometry sites

For anyone struggling with the subject, this is the place to look. Tutors, Frequently asked Questions, and other valuable links available.














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