## Course Content » 1st Year Modules

Choose a module from the table below:

 MAT105 MAM151 MAM152 MAM115 MAM126 MAM127 APM112 APM122 MAM110 MAM150 QSC131 QSC132

###### MAT105 Mathematics 105

30 credits

Sets, real and complex numbers and the coordinate system.
Main types of functions that occur in calculus.
Limits, Continuity and the derivative of a function.
Differentiation rules and implicit differentiation.
Curve sketching, related rates and optimization.
Properties of the definite integral, the fundamental theorem of calculus, techniques of integration, table of integrals, numerical methods and improper integrals.
Areas under a curve, volumes, arc length and average value of a function.
Row echelon forms and Gauss-Jordan elimination.
MSolutions of a system of linear equations using determinants (Cramer's rule) and inverse of matrices, dot product, cross product, and equations of lines and planes in 3d-spaces.

Main Outcomes

It is expected that on completion of this module students are able to:

Use the basic properties of functions (composition, transformations, combinations, graphs) in different contexts.
Use the basic properties of numbers including complex numbers in different contexts.
Use the concepts of limits, continuity and derivative with an emphasis on meanings in different mathematical contexts.
Use the differentiation techniques correctly in solving problems real world problems.
Use different methods to determine the definite integral as a limit of Riemann sums.
Use the basic methods of integration correctly to solve problems.
Use systematic methods for solving matrix equations.
Use their knowledge of vectors and coordinate systems to solve problems in three-dimensional space.
Relevant People ###### MAM151 Mathematics 151 (SF)

15 credits

Sets and real numbers.
Complex variables.
The coordinate system and straight lines.
Function characteristics and representation.
Main types of functions that occur in calculus.
Limits and continuity.
The derivative of a function.
Differentiation rules covering all functions and combinations discussed in MAT105.
Curve sketching.
Conic sections.
Related rates and optimization.

Main Outcomes

It is expected that on completion of this module students are able to:

Understand the basic ideas concerning functions, their graphs, and ways of transforming and combining them.
appreciate the basic ideas of the number system, including complex numbers.
Understand the limit concept, continuity and the definition of the derivative, with an emphasis on meanings in different mathematical contexts.
possess good proficiency in differentiation techniques.
Use the derivative in solving problems.
Relevant People ###### MAM152 Mathematics 152 (SF)

15 credits

Pre-requisite: MAM111 (pre-2009) or MAM151
Area and the definite integral, properties of the definite integral, the fundamental theorem of calculus, techniques of integration and the table of integrals, numerical methods and improper integrals.
Areas under a curve, volumes, arc length and average value of a function.
Row echelon forms and Gauss-Jordan elimination.
Solutions of a system of linear equations using determinants (Cramer's rule), matrix algebra and solutions of a system of linear equations using the inverse of a matrix, dot product, cross product, and equations of lines and planes in 3d-spaces.

Main Outcomes

It is expected that on completion of this module students are able to:

Understand the definite integral as a limit of Riemann sums, and the connection between the derivative and the definite integral brought out by the fundamental theorem of calculus.
Proficiency in the basic methods of integration.
Use of the integration to solve problems.
Understand systems of linear equations as matrix equations and systematic methods for solving matrix equations.
Understand vectors and coordinate systems for three-dimensional space.
Relevant People ###### MAM115 Mathematics 115 (N)

15 credits

Sets and real and complex numbers and the coordinate system.
Main types of functions that occur in calculus.
Limits and continuity and the derivative of a function.
Differentiation rules and implicit differentiation.
Curve sketching, related rates and optimization.
Properties of the definite integral, the fundamental theorem of calculus, techniques of integration, table of integrals, numerical methods and improper integrals.
Areas under a curve, volumes, arc length and average value of a function.
Row echelon forms and Gauss-Jordan elimination.
Solutions of a system of linear equations using determinants (Cramer's rule) and inverse of matrices, dot product, cross product, and equations of lines and planes in 3d-spaces.

Main Outcomes

It is expected that on completion of this module students are able to:

Use the basic properties of functions (composition, transformations, combinations, graphs) in different contexts.
Use the basic properties of numbers including complex numbers in different contexts.
Use the concepts of limits, continuity and derivative with an emphasis on meanings in different mathematical contexts.
Use the differentiation techniques correctly in solving problems real world problems.
Use different methods to determine the definite integral as a limit of Riemann sums.
Use the basic methods of integration correctly to solve problems.
Use systematic methods for solving matrix equations.
Use their knowledge of vectors and coordinate systems to solve problems in three-dimensional space.
Relevant People ###### MAM126 Mathematics 126 (EMS)

10 credits

Known as MAM127 in 2nd Semester
Mathematics of Finance.
Differential and Integral Calculus.
Applications to Managerial Sciences.

Main Outcomes

It is expected that on completion of this module students are able to:

Develop Mathematical and Computational Skills.
Interpret Literature pertaining to Managerial Sciences that contains Mathematical Sciences.
Relevant People ###### MAM150 Mathematics 150

15 credits

Basic numeracy, trigonometry, logarithms and exponents, basic geometry.
Functions and their graphs, limits and continuity.
Rates of change, definition of derivative, rules for finding derivatives.
Curve sketching; application of differentiation.
Integration including areas between curves, volumes of solids, numerical integration.
Multivariable Calculus.

Main Outcomes

It is expected that on completion of this module students have:

gained insight into the areas of basic mathematics and differential calculus in a form that will be of maximum use to students whose major area is life science.
gained insight into the areas of application of differentiation, integral calculus and its application in a form that will be of maximum use to students whose major area is life sciences.
Relevant People ###### apm112 mathematics 112

15 credits

The logic of Compound statements.
The logic of Quantitative Statements.
Elementary Number Theory and Methods of Proof.
Sequences and Mathematical Induction.
Set theory.

Main Outcomes

It is expected that on completion of this module that students:

have a good understanding of sets and their operations.
are able to use a mathematical induction as a tool in proofs.
are able to use various methods of proof to solve problems.
are able to apply their knowledge in applications to switching circuits and logic gates.
Relevant People ###### apm122 mathematics 122

15 credits

Co-requisite: APM112
Counting techniques.
Functions and application.
Recursion, O-notation and efficiency of Algorithm.
Relations and applications. Graphs and Trees.

Main Outcomes

It is expected that on completion of this module that students:

can apply graph theory to various problem situations.
can transfer practical real life problems to a graph.
are able to apply various counting techniques in practical situations.
are able to apply their knowledge of functions and relations in computer science.
Relevant People ###### mam110 mathematics 110

15 credits

Fractions and percentage and ratio.
Basic algebra.
Exponents and scientific notation.
Solving equations.
Understanding simple graphical representations.
Measurement (lengths area and volume) and conversions of units.

Main Outcomes

To gain knowledge of basic mathematical literacy needed to manage content in other modules.
Relevant People ###### QSC131 quantitative skills for commerce

10 credits

Known as QSC132 in 2nd Semester
Relevant People 