Introduction to the use of modern computer algebra system calculators to solve mathematical problems. Manipulate and solve various algebraic expressions. Sketch various polynomials and other functions. Extension of the number system to include complex numbers: their definition and basic operations using rectangular and polar. The binomial theorem will be used in the expansion of algebraic forms. Introduction to calculus: using rules for differentiation, and the solution of equations. Concepts of integration: the relationship between integration and differentiation, area between curves. Integration methods: integration by substitution, integration by parts. Numerical integration: trapezoidal and Simpson's rule. First order differential equations: separation of variables method and application to growth/decay problems and Newton's law of cooling. This subject continues the stream that will allow students to satisfy mathematics teacher registration.

Unit details

Location:
Study level:
Undergraduate
Credit points:
12
Unit code:
NEM1001

Learning Outcomes

On successful completion of this unit, students will be able to:
  1. Solve and graph a variety of mathematical functions;  
  2. Perform simple complex number calculations;  
  3. Perform basic differentiation and integration;  
  4. Apply basic calculus to engineering and science related problems.  

Assessment

Assessment type Description Grade
Test Five Post-Class Quizzes 17.5%
Test Three In-Class Quizzes 42.5%
Assignment PBL Activity 20%
Project Project (Plan, Report and Presentation) 20%

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