DEPARTMENT OF NATURAL SCIENCES AND MATHEMATICS
THE MAJOR IN MATHEMATICS
The Mathematics program is designed to train students in mathematical techniques, applications of mathematics, critical thinking and problem solving skills. This training not only prepares the students for the world of work in industry, education, and government where numerical techniques are required, but also to pursue higher studies in pure or applied mathematics.
Mathematics Program Mission
The mission of the Mathematics Program is to prepare students with the knowledge, skills, and competencies, to obtain employment in fields of work requiring quantitative, analytical thinking, and problem solving skills, and also to pursue graduate studies in Pure and Applied Mathematics. The graduates will be equipped with analytical and critical thinking skills to enable them to formulate problems, solve them, and interpret their solutions, and communicate the solution.
Mathematics Program Learning Outcomes
The graduates of the Mathematics program should have acquired the following skills to perform well in the world of work and also in pursuing graduate studies:
- Accumulation of knowledge and quantitative/computational skills: Graduates will be able to apply the knowledge of the concepts of numbers and the various number systems and their relationships and operations, mathematical concepts and ideas to solve problems - Be able to translate number statements into symbolic and mathematical expressions and to understand patterns, relations, and functions – build mathematical models in terms of equations or functions to solve practical problems and problems in other branches of mathematics and the sciences.
- Analytical skills: Graduates will be able to analyze data presented in various forms (graphs, tables),using statistical and graphical techniques and to make predictions of changes and future behavior – to present mathematical ideas through data or graphs - to see the connections between mathematical concepts and applications to formulate problems mathematically and solve them and should be able to interpret the results.
- Logical and critical thinking skills: Graduates will be able to think logically and apply the laws of logic to mathematical statements to prove theorems by deductive reasoning, to construct arguments and make conclusions and to communicate and represent mathematical ideas.
- Graduates will be able to use appropriate technologies to solve mathematical problems and to analyze data.
Student Learning Outcomes
Students will be able to:
- SLO 1.1 Classify numbers into different groups and be able to understand and apply the mathematics of natural, integer, rational, real, and complex number systems. and be able to distinguish between various types of numbers. MAT 115,201,202,203,232, 311, 413 ( NCDPI 1.1)
- SLO 1.2 Draw the graphs of various functions, perform operations of composition, inversion of functions, understand the relationship between limits, derivatives, and integrals, find their derivatives, integrals, identify some properties of functions, find the maximum and minimum values of functions using algebraic and calculus techniques. They will also be able to use numerical techniques to find definite integrals of functions MAT 115, 201, 202, 203, 417( NCDPI 3.1,3.3)
- SLO 1.3 Solve systems of linear equations, find the matrices representing linear transformations, do matrix computations. They will also be able to solve ordinary differential equations both algebraically and numerically. MAT 312, 411 ( NCDPI 1.3)
- SLO 1.4 Apply all these mathematical techniques to formulate and model real life situation problems and solve application problems in real life, other branches of science and Mathematics.
- SLO 2.1 Represent data as diagrams, graphs. MAT 115,201,202,203,313 ( NCDPI 3.1)
- SLO 2.2 Find various measures of central tendencies, dispersions, correlation between variables, and other statistical parameters. They will also be able to find probabilities of certain simple and compound events using various techniques of probability using probability distributions. Students will also be able to apply these techniques to solve application problems such as future predictions and behaviors, testing hypotheses. MAT 313 ( NCDPI 4.1 – 4.7 )
- SLO 2.3 Read graphs or diagrams and identify the properties of the model that it represents using techniques from Calculus, statistics . MAT 201, 202, 203, 313 ( NCDPI 3.1 )
- SLO 2.4 Use the three interpretations of differentiation and integration techniques to solve application problems including determining some characteristics such as increasing and decreasing functions, optimizing techniques for functions in Business, Economics, Sociology etc, also find areas and volumes of planes and solids using definite integrals, and multiple integrals. MAT 201, 202, 203 ( NCDPI 3.5 )
- SLO 2.5 Use eigen values, eigen vectors in solving and predicting long range effects in other areas of study. Students will be able to solve application problems using these techniques. MAT 312 (NCDPI 3.5 )
- SLO 2.6 Understand basic concepts of discrete mathematics and judge the reasonableness of results obtained from numerical, computational techniques and also from symbolic manipulations and using technology. MAT 212, 417 (NCDPI 4.7,5.2,5.3)
- SLO 3.1 Understand the various techniques of proving theorems and will be able to state and prove theorems using definitions and properties. MAT 212, 232, 311,312,413 ( NCDPI 5.1)
- SLO 3.2 Formulate conjectures by observations and to prove them to be true or false using deductive reasoning and critical thinking. MAT 232,311,312, 413 ( NCDPI 5.1)
- SLO 3.3 Classify the various algebraic structures and see the connections between them and realize how they were motivated by the earliest number systems. MAT 232, 311,312 ( NCDPI 1.2)
- SLO 4.1 Use Computer Algebra Systems ( CAS) such as MAPLE and use graphing calculators to solve problems and analyze data. ( NCDPI 5.3)