Calculus for Engineering I
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You may see your Final Exam Papers on 24.08.2017 Thursday between 13:00 and 15:00 at Room R-216

 

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A C T I V I T I E S

Syllabus

WEEK DATES TOPICS CHAPTERS
    1 3-7 July Cartesian Coordinate System, Lines, Circles, Functions, Graphs, Combining Functions, Polynomials, Rational Functions, Trigonometric Functions, Exponential Functions, Inverse Functions and Logarithms  P.2, P.3, P.4, P.5, P.6, P.7, 3.2
    2 10-14 July Limit of a Function, Limits at Infinity and Infinite Limits, Continuity 1.2, 1.3, 1.4
    3 17-21 July Formal Definition of Limit, Tangent Lines, Derivative, Differentiation Rules, Chain Rule, Derivatives of Trigonometric Functions 1.5, 2.1, 2.2, 2.3, 2.4, 2.5
    4 24 -28 July The Mean Value Theorem, Implicit Differentiation, Derivative of Inverse Function, Derivatives of Exponential and Logarithmic Functions, Derivative of Inverse Trigonometric Functions, Related Rates  2.8, 2.9, 3.1, 3.3, 3.5, 4.1
    5 31 July -4 August Indeterminate Forms, L'Hopital's Rule, Extreme Values, Concavity and Inflections, Sketching the Graph of a Function, Extreme Value Problems, Linear Approximations  4.3, 4.4, 4.5, 4.6, 4.8, 4.9
    6 7 - 11 August

Antiderivatives, Indefinite Integral, Sums and Sigma Notation, Areas as Limits of Sums, The Definite Integral, Fundamental Theorem of Calculus, Area of Plane Regions, Substitution, Integration by Parts

2.10, 5.1, 5.2, 5.3, 5.5, 5.6, 5.7, 6.1
    7 14-18 August Integral of Rational Functions, Inverse Substitutions, Improper Integrals 6.2, 6.3, 6.5