Courses Catalogue

Mathematics For Environmental Science

COURSE CODE: ENV1102
COURSE CREDIT UNIT: 4
ACADEMIC PROGRAMME: Environmental Management, Bsc
COLLEGE/SCHOOL/FACULTY: School of Natural and Applied Sciences
STATUS: Core
PROGRAMME TYPE: Undergraduate

Course Content and Outline

COURSE CONTENT

 

TOPIC

CH

Real Number system and operations

  • Real Numbers, Fractions, Decimals, percentage and ratios, indices, algebraic operations, exponents, algebraic operations, factorization and multiplication of algebraic expressions.

9

Equations

  • Linear equations, solving linear equations, the equation of line, simultaneous equations.
  • Quadratic equations, solving quadratic equations by factorization, completion of squares, the quadratic formula, cube equations.

9

Functions

§  Important definitions, graphs of functions (linear, quadratic, and cubic functions) simultaneous equations graphically, inverse functions.

9

Differentiation and Integration

§  Differentiation: definition, a derivative as a rate of change, the derivative as the slope of a curve at a point, rules for completing derivatives, differentiation of composite functions, second derivative and convexity, maxima and minima.

§  Integration: definitions, areas under a curve, integration as an anti derivative, rules for integration.

15

Vectors and Matrices:

§  Addition, subtraction and multiplication of matrices. The determinant and inverse of  2*2 matrices

9

 

MODE OF DELIVERY

  • Lectures
  • Reading assignments
  • Practical assignments
  • Hands-on work in the industry

 

INSTRUCTIONAL MATERIALS AND / OR EQUIPMENT

  • Whiteboard and Markers
  • Flip Charts
  • LCD Projectors
  • CDs, DVDs and Tapes