CALCULUS: Early Transcendentals, 6E

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Sheet1 Math1161.01= Math 1161.02= Regular FEH Engineering Mathematics Semester I : 5 Credit hours (Autumn semester) Textbook sections are from J. Stewart: CALCULUS: Early Transcendentals, 6E Lecture Days Section# # of pages Subject Week 1 3 2.1 5 The Tangent and Velocity Problems 2.2 9 The Limit of a Function 2.3 7 Calculating Limits Using the Limit Laws Week 2 3 2.4 8 Precise Definition of a Limit 2.5 8 Continuity 2.6 11 Limits at Infinity; Horizontal Asymptodes 2.7 7 Tangents, Velocities, and Other Rates of Change Week 3 3 2.8 8 The Derivative as a Function 3.1 8 Derivatives of Polynomials and of Exponentials 3.2 4 The Product and Quotient Rules 3.3 5 Derivatives of Trigonometric Functions Week 4 3 3.4 5 The Chain Rule 3.5 6 Implicit Differentiation 3.6 5 Derivatives of logarithmic functions 3.7 9 Rates of change in the sciences Week 5 3 Review Midterm I 3.8 6 Exponential growth and decay 3.9 4 Related rates Week 6 3 3.10 5 Linear Approximations and Differentials 3.11 5 Hyperbolic Functions 4.1 6 Maximum and Minimum Values 4.2 5 The Mean Value Theorem Week 7 3 4.3 8 How Derivatives Affect the Shape of a Graph 4.4 6 Indeterminate Forms and L'Hospital's Rule 4.5 7 Summary of Curve Sketching 4.6 5 Graphing with Calculus and Calculators Week 8 3 4.7 6 Optimization Problems 4.9 5 Antiderivatives Midterm II 5.1 9 Areas and Distances Week 9 3 5.2 10 The Definite Integral 5.3 9 The Fundamental Theorem of Calculus 5.4 6 Indefinite Integral and the Net Change Theorem Week10 3 5.5 6 The Substitution Rule 6.1 5 Area between Curves 6.2 8 Volumes Week 11 3 6.3 4 Volumes by Cylindrical Shells 6.4 3 Work 6.5 2 Average Value of a Function 7.1 5 Integration by Parts 7.2 6 Trigonometric Integrals Week 12 3 Review Midterm III 7.3 6 Trigonometric Substitutions Week 13 3 7.4 8 Integration of Rational Function 7.5 5 Strategy for Integration 7.8 8 Improper Integrals Week 14 2 8.1 5 Arc Length 8.2 5 Area of a surface of Revolution Total # of Days = 41days=13.7 weeks Total # of pages = 283 pages Average # of pages per lecture day = 7.447368421 pages The above syllabus corresponds to Math 151+ Math 152 Page 1.

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