MATH119 CALCULUS WITH ANALYTIC GEOMETRY
|METU Credit (Theoretical-Laboratory hours/week):||5(4-2)|
|Language of Instruction:||English|
|Level of Study:||Undergraduate|
|Course Coordinator:||Assoc.Prof.Dr. CANAN BOZKAYA|
|Offered Semester:||Fall and Spring Semesters.|
Course ObjectiveThe sequence Math 119-120 is the Standard complete introduction to the concepts and methods of calculus. It is taken by all engineering students. The emphasis is on concepts, solving problems, theory and proofs. All sections are given a uniform midterm and a final exam. Students will develop their reading, writing and questioning skills in Mathematics.
Course ContentFunctions. Limits and Continuity. Tangent lines and derivatives. Chain rule. Implicit differentiation. Inverse functions. Related rates. Linear approximations. Extreme values. Mean Value Theorem and its applications. Sketching graphs. Indeterminate forms and L Hospital s rules. Definite integral. Fundamental Theorem of Calculus. Substitution. Areas between curves. Formal definition of natural logarithm function. Techniques of integration. Improper integrals. Arc length. Volumes and surface areas of solids of revolution. Parametric plane curves. Polar coordinates. Arc length in polar coordinates.
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