#### Basic Mathematics & Analytic Geometry

Department of Mathematics, Chemistry and Physics

This is a beginning course in plane analytic geometry emphasizing the correspondence between geomet...

#### COMPLEX ANALYSIS

Department of Mathematics, Chemistry and Physics

A three-hour, one semester course on the theory of the complex variable from elementary functions,...

#### Differential Calculus

Department of Mathematics, Chemistry and Physics

The course is designed to provide students with the basic notions and important concepts in Calcul...

#### DIFFERENTIAL CALCULUS

Department of Mathematics, Chemistry and Physics

The course is designed to provide students with the basic notions and important concepts in Calcul...

#### Engineering Mathematics II

Department of Mathematics, Chemistry and Physics

#### NUMERICAL ANALYSIS

Department of Mathematics, Chemistry and Physics

Numerical Analysis I is designed to introduce to students to the design and analysis techniques ...

The
course is designed to provide students with the basic notions and important
concepts in Calculus. Basically, concepts of calculus and their applications would
be focused on. It is assumed that the
students have a good background in the pre-calculus aspect or in algebra and
trigonometry. This course covers the Calculus of functions of several
variables. We will cover generalizations of results from fundamental Calculus
to higher dimensions; generalizations of results such as the second derivatives
test and the fundamental theorem of calculus. We will go over several physics
applications throughout the class in order to illustrate the usefulness of the
calculus of several variables. *Prerequisites: A minimum grade of C-(Minus)
in MATH 124 or Departmental Consent*

- Teacher: Carolyne Chebos

A
three-hour, one semester course on the theory of the complex variable from
elementary functions, differentiation and integration of the complex functions
and their application to some areas in mathematics and in the physicial sciences. *Prerequisite*: A minimum grade of C – in MATH 248

The main topics for each are as follows:

Complex variables and regions, analytuic functions, Cauchy-Riemann conditions and harmonic functions, Elementary functions in z , as exponential, trigonometric, hyperbolic and trigonometric and their corresponding inverses, Mapping by elementary functions, integration, Cauhy-Goursat Theorem, Residues andpoles and conformal mapping, Applications of conformal mapping and Schwarz-Christoffel transformation

- Teacher: Carolyne Chebos

Numerical Analysis I is designed to introduce to students to the design and analysis techniques that use numerical approximations for problems of analysis and equip them with numerical literacy and methods of solving equations with minimal errors.

Objectives and rationale in the use of the
different numerical methods in solving different problems which cannot be done
by the ordinary and well-known methods learned in the lower level
mathematics such as the determination of roots by the Newston’s, bisection,
secant, Newton-Raphson etc., and
generally showing the analytical background of each method Solutions of simultaneous algebnraic
equations by Gauss elimination method, matrix inversion method, Lagrange
interpolation; Interpolation based on finite differences; Iterated
interpolation Numerical integration and differentiation.* The prerequisite of
the course is MATH 248*

- Teacher: Carolyne Chebos

This is a beginning course in plane
analytic geometry emphasizing the correspondence between geometric curves and
algebraic equations. This correspondence makes it possible to reformulate
problems in geometry as equivalent problems in algebra, and vice versa. Curves
studied include straight lines, circles, parabolas, ellipses, and hyperbolas.
Coordinate transformations, polar coordinates, and parametric equations are
also studied. The course assumes a sound background in algebra, geometry, and
trigonometry. *Prerequisites: A minimum grade of C+ in mathematics in KCSE or Departmental
Consent.*

- Teacher: Paul Francis

The
course is designed to provide students with the basic notions and important
concepts in Calculus. Basically, concepts of calculus and their applications would
be focused on. It is assumed that the
students have a good background in the pre-calculus aspect or in algebra and
trigonometry. This course covers the Calculus of functions of several
variables. We will cover generalizations of results from fundamental Calculus
to higher dimensions; generalizations of results such as the second derivatives
test and the fundamental theorem of calculus. We will go over several physics
applications throughout the class in order to illustrate the usefulness of the
calculus of several variables. *Prerequisites: A minimum grade of C-(Minus)
in MATH 124 or Departmental Consent.*

- Teacher: Paul Francis