Calculus I
Calculus I
Required or Elective: Obligatory for all IT and Engineering Students.
Course Prerequisites: N/A.
Catalog Description:
Functions, combining functions, shifting and scaling graphs, trigonometric functions, exponential functions, inverse functions and logarithms, limits of functions, continuity, limits involving infinity and asymptotes of graphs, tangents derivative and tangents, differentiation rules and chain rule, implicit differentiation, extreme values of functions, mean value theorem, monotonic functions and first derivative test, concavity and curve sketching, indeterminate forms, L'Hospital's rule, antiderivatives, area and estimating with finite sums, definite integrals, fundamental theorem of calculus, indefinite integrals and the substitution method, area between curves.
Chapter 1: Functions
Chapter 2: Limits and derivatives
Chapter 3: Differentiation rules
Chapter 4: Applications of differentiation
Chapter 5: Integrals
Chapter 6: Applications of Integration
These class notes must be studied together with the ppt slides we discuss in class. Those written comments are just complementary notes that aim to get the students' attention to certain stuff that I, as an instructor, see important.
First Quiz: This is to remind you of what I told you in the class. We will have a QUIZ on Sunday (5-11-2023), at 7:30 pm. The quiz will cover the two sections (2.2 and 2.3) only: which is only about computing limits. The quiz will be conducted online on cengage platform (the platform where you solve your homework). Make sure that the time setting in cengage is (Jerusalem +2). The quiz period will be between 15 and 20 minutes based on the final number of questions.
Course code: PSUT.JO34561195 This code is used to enroll in the online portal. There, you can find supplementary material, the book and the assignments.
Class notes: Here you find some notes that support the presented slides in the class. These notes are not rigirous notes, but they were used in class as a supplement.