RIAT/QP/SOW/009

Department: Electrical/Electronics Engineering. Term: SEPT-NOV Year 2023.

Course: Craft certificate in Electrical/Electronics Engineering-Power Option. Class: EECM/22J.

Subject: Engineering Mathematics II

WK TOPIC SUB-TOPIC OBJECTIVES TEACHING RESOURCES REMARKS

/LEARNING /
ACTIVITIES
REFERENCE
S

1 Algebra 1. Quadratic By the end of the lesson,trainee should be able to: The trainer to work out Advanced
equations. calculations involving: Engineering
1. Solve linear simultaneous equations.
2. Simultaneous 2. Reduce equations to quadratic equations. Mathematics
equations 3. State and use the binomial theorem.
 Simultenous by John Bird
4. Apply binomial theorem to estimate errors of equations
small changes.  Quadratic Pure
equations mathematics 1
by Backhouse
The trainees to:

 Perform
calculations
involving operation
of Simultenous
equations
 Take notes on
examples
performed by the
trainer.
APPROVED BY: H.O.D ……………………………………………………………… DATE ………………………………………………………………..
 Engage in class discussion.

WK TOPIC SUB-TOPIC OBJECTIVES LEARNING ACTIVITIES RESOURCES REMAR

/ KS

REFERENCE
S

2 Algebra  Binomial theorem By the end of the lesson,trainee should be The trainer to perform and Chalk board
able to: explain calculations involving
binomial expansion. KLB Book
i. State and use the binomial theorem.
three (third
ii. Apply binomial theorem to estimate
errors of small changes. The trainee to: edition)

 Take notes on Advanced

important points. Engineering
 Engage in class Mathematics
discussion by John Bird
 Ask and answer
questions raised.

3 Trigonometric And  Trigonometric ratios By the end of the sub-module unit, the Trainer to explain and perform Trainer notes
Hyperbolic Function trainee should be able to; calculations involving:
Advanced
i. Define trigonometrical,  Trigonometric ratios. Engineering
compound angles, double  Solution of right angled Mathematics
angles and factor formulae triangle parameters. by John Bird
ii. Solve right angled triangular  Definition of
trigonometrical equations. hyperbolic ratios.
iii. Define hyperbolic ratios  Osbornes rule.
iv. State Osbornes rule and solve
hyperbolic equations. The trainees to:

 Take notes on
important points
 Participate in the class

APPROVED BY: H.O.D ……………………………………………………………… DATE ………………………………………………………………..

 discussion.
 Perform calculations.

4 vectors By the end of the lesson the trainee The trainer to work out Trainer notes
should be able to: calculations involving vectors.
Chalk board
 Define a vector and scalar. The trainee to:
KLB
 Distinguish between a vector
 Take notes mathematics
and scalar quantity.
 Perform calculations book three and
 Define vector theorems.
 Engage in class four ( third
 Solve problems involving the
discussion edition)
dot and cross products.
 Solve problems on gradient, Advanced
divergence and curl operators. Engineering
Mathematics
by John Bird

6 CAT 1

APPROVED BY: H.O.D ……………………………………………………………… DATE ………………………………………………………………..

7 Matrices II By the end of the lesson the trainee The trainer to perform Text book
should be able to: arithmetic operations
Calculators
i. Perform 3x3 matrix  3x3 matrix
operations.  Determine the Advanced
ii. Determine the determinant of determinant of of a 3x3 Engineering
of a 3x3 matrix using co- matrix using co-factor Mathematics
factor method and Sirus rule. method and Sirus rule. by John Bird
iii. Solve a problem using  Solve a problem using
crammers rule. crammers rule.
iv. Determine the inverse of a  Determine the inverse
3x3 matrix of a 3x3 matrix
v. Apply matrices in solving  Apply matrices in
linear simultaneous equations solving linear
with three unknowns. simultaneous equations
with three unknowns.

Trainees to :

 Take notes
 Perform calculations
 Ask questions
 Engage in class
discussion.

APPROVED BY: H.O.D ……………………………………………………………… DATE ………………………………………………………………..

8 Calculus By the end of the sub-module unit, the The trainer to perform Advanced
trainee should be able to; arithmetic operations : Engineering
Mathematics
 Define the derivative of a  Differentiation by John Bird
function.  Partial differentiation
 Find derivative of a function  Determination of
from the first principles. stationary points.
 Refer to the table of  Integration
derivatives of common i. Xn
functions. ii. Trigonometric
 State and use rules of functions.
differentiation.
 Determine higher derivatives.
 Define partial derivatives of a
function of a two variables.
 Determine stationary points of
functions of two variables.
 Integrate equations.

9 CAT TWO

TRAINER’S NAME: DANIEL KIPKEMBOI SIGNATURE…………………………………..DATE……………………………..

HOD: KENNEDY MAKORI SIGNATURE……………………………………………………………..DATE……………………………..

APPROVED BY: H.O.D ……………………………………………………………… DATE ………………………………………………………………..