COURSE TITLE: MATHEMATICS FOR CHEMICAL ENGINEERS I
3(3-0)
COURSE CODE: ICH 1103
a. Brief Course Description
This course tackles basic concepts of calculus and functions. It includes an in-
depth treatment of mathematical functions, series and sequences (Properties and
types), differential calculus (differentiation and its applications particularly to the
field of chemical engineering), techniques of integration and applications of
integral calculus. The course introduces differential equations of simple first and
second order systems with emphasis on their applications in chemical
engineering.
b. Course Objectives
The course is intended to;
§ Acquaint and prepare students with a background necessary for future
learning of course units such as, Fluid mechanics, Heat transfer, mass
transfer, Transport Phenomena, Chemical Engineering thermodynamics
and Process control and analysis.
§ Teach students how to apply theories and principles of mathematics to
solve chemical engineering problems and control chemical process.
c. Detailed Course Description
i) Functions (2 weeks)
§ Introduce functions and involve students in identifying even and odd
functions, linear and functions and polynomials, continuous and
discontinuous functions
§ Define the limit of a function and involve the students in finding limits of
some functions.
At the end of this topic, an assignment will be given.
ii) Series and Sequences (3
weeks)
§ Distinguish between a series and a sequence, identify finite and infinite
sequences, and show the difference between an increasing and decreasing
sequence.
§ Infinite series and determination of their partial sums test for convergence
of infinite series. Geometric series and determination of their sums
§ Methods for investigating the convergence of series: P-series test,
comparison test, ratio test, root test and the alternating series test.
iii) Differentiation (3 weeks)
§ Define the derive of a function and determine derivatives of some
functions in the class, differentiation of implicit functions
§ The chain rule, Quotient and Product rules and application of natural
logarithm in differentiation.
§ Applications of the chain rule and differential calculus, curve sketching
At the end of this topic, an assignment will be given.
iv) Integral Calculus (4 weeks)
§ Introduce techniques of integration, integration of a constant and
polynomial functions, and integration of cosine, sine, cosecant, secant,
tangent and cotangent.
§ Integration by change of variable, of exponential functions, by partial
fractions, by parts
§ Application of the trapezium and Simpson’s rules in integration
§ Applications of integration (with emphasis to chemical engineering)
At the end of this topic, an assignment will be given.
v) Differential Equations (3 weeks)
§ Introduction to first and second order differential equations, order and
solutions of simple differential equations
§ Applications of differential equations
§ Introduction to partial differential equations.
TEST II
d. Mode of Delivery: Lectures, Assignments, Tests and Tutorials
Assessment: Assignments, Tests (30%) and Examination (70%)
