Summary of ZCA110 KALKULUS (CALCULUS)

Contact Us Elearn USM Support Center

Website OPAC ePerpustakaan Course Reserve Reference & Academic Support Research Data Management Proquest eBook Central Open Educational Resources (OER) Open Science USM Library TV Library Guides ProQuest Dissertations and Theses (PQDT)

General

Announcements

General information and resources

Online interactive activities for Topic 1

1.3 Functions and Their Graphs

1.4 Idenfying functions

1.5 Combining functions; shifting and scalling graphs

1.6 Trigonometic functions

Online interactive activities for Topic 2

2.1_Rates of Change and Limits

2.2_Calculating limits using the limits laws

2.3 The Precise Definition of a Limit

2.4 One-Sided Limits and Limits at Infinity

2.4 One-Sided Limits and Limits at Infinity (second part)

2.5 Infinite Limits and Vertical Asymptotes

2.6 Continuity

2.7 Tangent and derivatives

Online interactive activities for Topic 3

3.1 The Derivative as a Function

3.2 Differentiation Rules

3.3 The Derivative as a Rate of Change

3.4 Derivatives of Trigonometric Functions

3.5(a) The Chain Rule

3.5(b) Parametric equations

3.6 Implicit Differentiation

3.7 Related Rates

3.8_Linearization and differentials

Online interactive activities for Topic 4

4.1 Extreme Values of Functions

4.2 The Mean Value Theorem

4.3_Monotonic Functions and The First Derivative Test

4.4 Concavity and Curve Sketching

4.5 Applied Optimization Problems

4.6 Indeterminate Forms and L’ Hopital’s Rule

4.8 Antiderivatives

Online interactive activities for Topic 5

5.1 Estimating with Finite Sums

5.3 The Definite Integral

5.4 The Fundamental Theorem of Calculus

5.5 Indefinite Integrals and the Substitution Rule

5.6 Substitution and Area Between Curves

Online interactive activities for Topic 7

7.1 Inverse Functions and Their Derivatives

7.2 Natural Logarithms

7.3 The Exponential Function

7.4_ax and loga x

7.7 Inverse Trigonometric Functions

7.8 Hyperbolic Functions

Online interactive activities for Topic 8

8.1 Basic Integration Formulas

8.2 Integration by Parts

8.3 Integration of Rational Functions by Partial Fractions

8.4 Trigonometric Integrals

8.5 Trigonometric Substitutions

8.6 Improper Integrals

8.7 Integration with Wolfram Alpha Integral Calculator

Online interactive activities for Topic 11

11.1 Sequences

11.2 Infinite Series

11.3 The Integral Test

11.4 The Comparison Test

11.5_The Ratio Test

11.6 Alternating Series Absolute and Conditional Convergence

11.7 Power Series

11.8 Taylor and Maclaurin Series

Matters related to assessment

Answer to Test 1

Answers to Test 2

Check your total coursework marks here (Max 50 marks)

Final Exam Questions

Solutions and Rubrics to final exam questions

Please login using USM Identity