Algebra and Calculus I

Please note that this Course is no longer accepting new enrolments beginning from the 'Last Admission' listed'.

Offering Information

Please select an offering above to get offering specific information

Course Team

Oleksiy Yevdokimov

Dmitry Strunin

Summary

Mathematical concepts and processes provide powerful descriptive and investigative tools for science, engineering, business and other fields. In particular, the techniques of calculus, matrices, vectors and complex numbers are fundamental for modelling and analysis in a wide range of applications. This course provides opportunity for students to advance their mastery … For more content click the Read More button below.

Mathematical concepts and processes provide powerful descriptive and investigative tools for science, engineering, business and other fields. In particular, the techniques of calculus, matrices, vectors and complex numbers are fundamental for modelling and analysis in a wide range of applications. This course provides opportunity for students to advance their mastery of these topics, and explore their applications in many contexts.

SynopsisIt is assumed that students entering this course have up-to-date Mathematical Methods or QLD Maths B competencies, that is well established algebra, function, graphing and trigonometry competencies, and introductory level skills in matrices, vectors and calculus. This course advances conceptual and technical competencies in these fields by investigating limits, continuity, inverse functions, compositions of functions, rational functions and implicit functions. Calculus concepts, differentiation and integration are advanced and used in problem solving applications. Vector algebra is extended and applied to the description of lines and planes in space. Matrix algebra is extended to determinants, and used for modelling and to solve systems of linear equations in a range of settings. Polar and Euler notations are used to represent complex numbers and functions.

Other Requirements

Other

Current skills at the level of Senior Secondary School Studies Mathematical Methods (or QLD Maths B) or equivalent are assumed knowledge. Students who do not have the assumed knowledge may choose to study MAT1100 or ENM1500 PRIOR to this course. This course is equivalent to MAT1502 and substantially equivalent to ENM1600. Students cannot enrol in MAT1102 if they have successfully completed or are currently enrolled in MAT1502 or ENM1600.

Offerings

Trimester 1

OL-TWMBA-TR1

ON-TWMBA-TR1

Trimester 2

OL-TWMBA-TR2

ON-TWMBA-TR2

Topics

Mathematical writing and communication (10%) The library of common types of functions of one variable and their graphs; function concepts, and their applications (20%) Calculus: techniques of differentiation, higher derivatives and their applications; definite, indefinite and improper integrals, integration techniques; applications of calculus to engineering and science (30%) Vector algebra … For more content click the Read More button below. Matrix algebra; applications to solving systems of linear equations in engineering and other contexts (15%) Complex numbers and their applications, Polar form and Euler form, functions of a complex variable (10%)

Mathematical writing and communication (10%)
The library of common types of functions of one variable and their graphs; function concepts, and their applications (20%)
Calculus: techniques of differentiation, higher derivatives and their applications; definite, indefinite and improper integrals, integration techniques; applications of calculus to engineering and science (30%)
Vector algebra and cross product, and application to describing lines and planes in space (15%)
Matrix algebra; applications to solving systems of linear equations in engineering and other contexts (15%)
Complex numbers and their applications, Polar form and Euler form, functions of a complex variable (10%)

Assessments

Assessment due dates (as listed in Week Due) are indicative until finalised by the end of Week 1 for each Study Period (Offering). After Week 1, Assessment due dates may change with the approval of the Dean (Academic) or Delegate in limited circumstances. All Assessment due date changes approved after Week 1 will be communicated to students accordingly via Handbook and StudyDesk.

Quiz

Problem Solving 1

Problem Solving 2

Learning Resources