MATH1034A(Algebra I) - 218 questions - ALGEBRA I (MATH1034A) - Mathematics I (Major) is a first-year mathematics course having 6 lectures and 2 tutorials per week (each of 45 minutes duration) for 26 weeks. Mathematics I (Major) is composed of two courses: Calculus I (MATH1036A) and Algebra I (MATH1034A). First semester topics include:
Proofs of the trigonometric identities
The Cartesian-plane - the concept of distance, the triangle inequality, circles in the plane
Lines in the plane - parametric and implicit representations
The absolute value function
The concept of a function, domains and ranges of functions, the graph of a function, odd and even functions, one-to-one and onto functions, inverses of functions, composite functions
Inverse trigonometric functions
Polar coordinates and sketching curv
MATH1036A (Calculus I) - 132 questions - MATH1036A (Calculus I) - Mathematics I (Major) is a first-year mathematics course having 6 lectures and 2 tutorials per week (each of 45 minutes duration) for 26 weeks. Mathematics I (Major) is composed of two courses: Calculus I (MATH1036A) and Algebra I (MATH1034A).
Functions and Limits
Applications of derivatives
Advanced Integration techniques
Sequences & series
MATH1042A (Engineering) - 63 questions - MATH1042A – Engineering Mathematics IA - The main purpose of this course is to provide students with a basic foundation in differentiation and integration techniques with simple applications, the binomial theorem, simple series and the conic sections in preparation for further study in Engineering Mathematics IB. Topics in Calculus include: Functions; Domain and range of functions; composite functions; Limits and continuity; Differentiation; Applications of differentiation (curve sketching, maxima and minima and rates of change); Antiderivatives, definite and indefinite integrals; Riemann sums; Applications of integration to areas and volumes; the natural logarithmic and exponential functions (transcendental functions). Topics in Algebra include: Radian measure; trigonometric functions; tr
MATH1043A (Engineering) - 1 question - MATH1043A - Engineering Mathematics IB - The main purpose of this course is to provide the students with a basic foundation in differentiation and integration techniques and simple application, the solution of simple differential equations and matrices. Topics in Calculus 1B include: Further techniques of integration and Improper integrals; Sequences and series; Taylor and Maclaurin series; L’Hôpital’s rule; Partial differentiation; Ordinary first order differential equations. Topics in Algebra 1B include: Linear systems of equations; Gaussian elimination; matrix algebra; inverse matrices; determinants; inverse matrices by elementary row operations and adjoint-determinant method; Cramer’s rule; dot product and cross product in R3; Vector algebra in R2 and R3; lines and planes in R3 ; compl
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