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SMA 102 Course Outline

The document outlines the course SMA 102: Basic Mathematics at Kenyatta University, detailing its purpose, expected learning outcomes, and content coverage including quadratic equations, set theory, and complex numbers. It specifies the mode of delivery, assessment methods, core and recommended reading materials, and a teaching schedule. The course aims to equip students with foundational mathematical skills over 35 contact hours.

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72 views2 pages

SMA 102 Course Outline

The document outlines the course SMA 102: Basic Mathematics at Kenyatta University, detailing its purpose, expected learning outcomes, and content coverage including quadratic equations, set theory, and complex numbers. It specifies the mode of delivery, assessment methods, core and recommended reading materials, and a teaching schedule. The course aims to equip students with foundational mathematical skills over 35 contact hours.

Uploaded by

cc6594511
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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KU/ACAD/SOP/8.

5-
KENYATTA UNIVERSITY Ref.:
3

QUALITY MANAGEMENT SYSTEM


Ver.: 1.0

SMA 102: Basic Mathematics Course Outline


Title: Date: 05/09/2023

Pre-requisite 35 Contact Hours


None
Purpose of the Course
To equip students with basic mathematical skills which build the foundation of Mathematics.

Expected Learning Outcomes of the course


By the end of the course the learner should be able to;
1. Apply the Factor and Remainder theorems to solve problems.
2. Apply permutations, combinations and the Binomial expansions to solve problems.
3. Use Venn diagrams and laws of set theory to solve problems.
4. Categorize a compound proposition as a tautology, contradiction or contingency.

Course Content (Revised)


Quadratic equations and inequalities. Remainder and Factor Theorem and their applications.
Permutations and combinations, Binomial theorem and its applications. Set theory: Basic operations
on sets, Laws of set theory, Venn diagrams and application. Logic: Propositions, compound
propositions and truth tables. Methods of proof: Direct, indirect, Induction, contradiction, cases,
counter examples. Complex numbers: Arithmetic operations, Geometric representations and polar
form. De Moivre’s Theorem and its applications.

Mode of Delivery
Class lectures, tutorials, discussions, problem solving, exercises.

Instructional Materials and/or Equipment

Whiteboard/chalkboard, overhead projector, smart board

Course Assessment
Continuous assessment tests: 30%
Final examination: 70%
Core Reading Materials for the Course
1. Backhouse, J.K. and Houldsworth, S.P.T (2000). Pure Mathematics I & II. London: Longman
Group.
2. Goldstein, L., Schneider, D. and Siegel, M. (1998). Finite Mathematics and its applications, 7th Ed.,
Prentice Hall.

Recommended Reading Materials for the Course


1. Grimaldi, R.P. (2004). Discrete and Combinatorial Mathematics. An applied introduction, 5th Ed.,
Pearson Addison Wesley.
2. Edgar, G., Goodaire, M., Parmenter, M. (2002). Discrete Mathematics with graph theory, 2nd Ed.

Journals
1. Discrete Mathematics journal

Teaching Schedule

Week Topics
1 Quadratic equations and inequalities
2 Remainder and Factor Theorem and their applications
3 Permutations
4 Combinations
5 Binomial theorem and its applications
6 Set theory: Basic operations on sets, Laws of set theory, Venn diagrams
7 CAT I
Applications of set theory
8 Logic: Propositions, compound propositions and truth tables
9 Methods of proof: Direct, indirect, induction, contradiction, cases, counter examples
10 Complex numbers: Arithmetic operations, Geometric representations and polar form
11 CAT II
De Moivre’s Theorem and its applications
12 & 13 FINAL EXAMINATION

Groupings

A1: I162, I163 and NON CBC Education Retakers

A2: I20, I122

A3: CO1, I71, I73

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