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2026-21563-112 Mathematics (Mil) / Wiskunde (mil) - 112

Facilitator: Douglas Schuster

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Mathematics (mil) - 112 Calculus I

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Week 1: Functions & Models, Absolute Value and the Radian Measure [29 Jan - 8 Feb].

Week 2: New functions from old functions; Exponential and Logarithmic Functions; Inverse Trigonometric Functions [03 - 07 Feb].

Chapter 1 Review - Functions and Models

Weeks 3 & 4: Limits [10 - 19 February]

2.1 Homework - Tangent and Velocity Problems

2.2 Homework - The Limit of a Function

2.3 Homework - Calculating Using Limit Laws

Weeks 4 (Continued) & 5: Limits at Infinity and Continuity; [20 to 26 February]

2.5 Homework - Continuity

2.6 Homework - Limits at Infinity, Asymptotes

Week 5 (continued): Derivatives and Rates of Change [28 Feb]

2.7 Homework - Derivatives, Rates of Change

Week 6: Revision for A1 Assessment 1

1.1 Quiz - 4 Ways to Represent a Function (on Chapter 1.1)

1.2 Quiz - Mathematical Models

1.3 Quiz - New Functions from Old

1.5 Quiz - Inverse Functions and Logarithms

2.1 Quiz - Tangent and Velocity Problems

2.2 Quiz - The Limit of a Function

2.3 Quiz - Calculating Using Limit Laws

2.5 Quiz - Continuity

2.6 Quiz - Limits at Infinity, Asymptotes

2.7 Quiz - Derivatives, Rates of Change

A1 Assessment 1: 10 March 2025, 19:00 - 10:25

A1 Assessment 1

Week 7: The Derivative as a Function ; [10 - 14 March]

2.8 Homework - The Derivative as a Function

Tutorial 4: The Derivative (60 marks)

Weeks 8 & 9: Differentiation Rules; [17- 26 March]

3.1 Homework - Differentiation Rules

3.2 Homework - Product and Quotient Rules

3.3 Homework - Trigonometric Functions

Weeks 9 & 10: The Chain Rule & Implicit differentiation ; [27 March - 02 April]

3.4 Homework - Chain Rule

3.5 Homework - Implicit Differentiation

Weeks 10 & 11: Derivatives of Exponential Functions, Derivatives of Logarithmic Functions; and Derivatives of Inverse Trig Functions; [02 - 08 April]

Homework: Derivatives of Exponential (3.1) &amp; Logarithmic Functions (3.6)

Week 11 (continued): Hyperbolic Functions, Inverse Hyperbolic Functions and their Derivatives ; [9 April]

HW: Hyperbolic Functions (3.11) &amp; Inverse Trigonometric Functions (3.6)

Weeks 11 & 12: Related Rates; Rates of Change in the Natural Sciences; [10 - 18 April]

3.9 Homework - Related Rates

3.7 Homework - Rates of Change

Week 13: Linear Approximations & Differentials; Antiderivatives ; [22 - 29 April]

3.10 Homework - Linear Approximation,Differentials

4.9 Homework - Antiderivatives

Week 13 & 14: Areas and Integrals; The Definite Integral and the Fundamental Theorem of Calculus; The Substitution Rule [29 April - 8 May]

5.1 Homework - Area and Distance Problems

5.2 Homework - Definite Integral

5.3 Homework - Fundamental Theorem of Calculus

Week 14 (continued): The Substitution Rule ; A Summary of Chapter 5 (Integration) [08 - 09 May]

5.5 Homework - Substitution Rule

Topic 20

Topic 22

Example Quiz

Homework: Derivatives of Exponential (3.1) & Logarithmic Functions (3.6)

HW: Hyperbolic Functions (3.11) & Inverse Trigonometric Functions (3.6)