Calculus

19 May 2015

Grade 12 Calculus                                                                                                2015 Semester 2

Material Covered for Second semester exams. Revise thoroughly.

  1. Antiderivatives and Indefinite Integration
  2. Power rule
  3. Area
  4. Definite Integrals
  5. Properties of Definite Integrals
  6. The Fundamental Theorem of Calculus
  7. Integration by Substitution
  8. Applications/problem solving
  9. Partial fractions

Good luck.

David

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07 May 2015

Exams are around the corner and I would like you to ensure you have handed in all the tasks given in class including any homework. Below are practice questions and work we did this week:

Work:

Calculus substitution ,

Exercise 4.5 1-40

05 – Integration Substitution Log Exp

05 – Integration Log Rule and Exponentials

05 – Integration Trig

05 – Integration Inverse Trig

Notes for you:

Lesson20_-_Integration_by_Substitution_ws

Integration cheat sheet

integral-table

Textbook: will append later.

David Ogaro

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26 April 2015

We have looked at integration some techniques, this week we will continue with the

  • U-substitution technique

Continue practicing the problems in Ex 4.5 till question 40.

Do all the work given.

David Ogaro

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16 April 2015

Dear all,

Please note down the following important dates

  • April 19-30 MAP
  • April 21 Progress Reports distribution
  • April 23 Parents Conferences with will be held as needed. No Students
  • April 30 Egypt Day, Arabic staff will organize that day. More information will come.
  • Ministry Arabic Exams Early May. Schedule will follow

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25 March 2015

We have looked at

  • Summation
  • Definite integrals
  • area

Continue practicing the problems in Ex 4.3 till question 40.

Appended is the work we did

Sigma_Notation

05 – Integration Power Rule (2)

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15 March 2015

Material covered:

  • Particular solution of a differential Equation (pg 249-Calculus, 10th Ed – Larson, Edwards)
  • Solving vertical motion (pg 252)
  • Application of integration

Classwork:   Ex 4.11-19 Qn 31-76

integration Worksheet 2

HomeworkSigma_Notation

math115a_SummationWorksheet2

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5 March 2015

Material covered:

  • Integration rules (pg 246)
  • general solution of a differential equation and use indefinite integral notation for antiderivatives. (pg 246 to pg 249)
  •  Use basic integration rules to find antiderivatives.

Classwork:  Ex 4.1 Qn 1-19

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12 Feb to 22 Feb 2015


No material covered.

David

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5 Feb 2015

Welcome to 2nd semester 2014/15.

I hope you had a good Winter break.

We shall continue from where you stopped with Dr. Salwa. We will miss her so much. we shall start with integration.

Some tidying up now. You have to come to every lesson with

1) a GDC (Graphiing Display Calculator),

2) writing material

3)Text book/reflection/journal

Remember, in Mathematics lessons, we DO not just listening

David Ogaro

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Mon.1/9/2014-Tues.2/9/14
P. Preparation for Calculus
P1.Graphs & Models
P2.Linear Models & Rates of Change
Mon.8/9/14-Tues.9/9/14
P. Preparation for Calculus
P2.Linear Models &Rates of Change
P3.Functions &their Graphs
Mon.15/9/14-Tues.16/9/14
P. Preparation for Calculus
Chapter P Test
Mon.22/9/2014-Tues.23/9/2014
Chapter 1 Limits
1.1 Preview of Calculus
1.2 Finding limits numerically and graphically
1.3 Evaluating limits analytically

Mon.29/9/2014-Tues.30/9/2014
1.Limits
1.4 Continuity
Quiz 1 on 1.4 on Tues. 14/10
1.5 infinite limits
Mon.13/10/14-Tues.14/10/14
1.5 Infinite limits
Chapter test on limits
Mon.20/10/14-Tues.21/10/14
2.1 The derivative and tangent line problem
Quiz on 2.1 on Mon.27/10
Mon.27/10/14-Tues.28/10/14
2. Differentiation
2.2 Basic Differentiation Rules and Rates of Change

2.3 Product & Quotient Rules and Higher Order

2.4 The Chain Rule

Quiz on 2.2-2.4 on Mon.3/11
Mon.3/11/14-Tues.4/11/14
2. Differentiation
2.3 Product & Quotient Rules and Higher Order
2.4 The Chain Rule
2.5 Implicit Differentiation
Reflection on Quiz(2.2-2.4)

Thurs. 25/12/14

Calculus Outline Dec14

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