MAT 1339 Introduction to Calculus and Vectors
3 crédits
Mathematiques
Faculte des sciences
Instantaneous rate of change as a limit, derivatives of polynomials using limits, derivatives of sums, products, the chain rule, derivatives of rational, trigonometric, exponential, logarithmic, and radical functions. Applications to finding maxima and minima and graph sketching. Concavity and points of inflection, the second derivative. Optimization in models involving polynomial, rational, and exponential functions. Vectors in two and three dimensions. Cartesian, polar and geometric forms. Algebraic operations on vectors, dot product, cross product. Applications to projections, area of parallelograms, volume of parallelepipeds. Scalar and vector parametric form of equations of lines and planes in two and three dimensions. Intersections of lines and planes. Solution of up to three equations in three unknowns by elimination or substitution. Geometric interpretation of the solutions. Prerequisite: Ontario 4U Functions (MHF4U) or MAT1318 or equivalent. The courses MAT1339, Ontario 4U Calculus and Vectors (MCV4U) or any equivalent cannot be combined for credits. MAT1339 may be taken for upgrading purposes or as an admission requirement In all cases, credits for this course do not count as part of any program requirements. S/NS grading scheme.
Volet:
Groupe de discussion
Cours magistral
Exigences:
Prerequisite: Ontario 4U Functions (MHF4U) or MAT 1318 or equivalent. The courses MAT 1339 , Ontario 4U Calculus and Vectors (MCV4U) or any equivalent cannot be combined for units.
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Automne
Hiver
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