Calculus is a foundational course at SSE; it plays an important role in understanding science, engineering, economics, and computer science, among other disciplines. This introductory calculus course covers differentiation and integration of functions of one variable, with applications.
Class Schedule: [S1] (Mon, Wed 12:30-1:45 SSE 301), [S2] (Tu, Th 8:00-9:15 SSE 201), [S4] (Mon, Wed 5:00-6:15 SDSB B5), [S3] (By Adnan Khan)
COURSE OUTLINE:
See the course outline and grading policy here.
RESOURCES:
For course resources, please click here.
Past Exams:
Some of the past exams can be found here.
PRACTICE PROBLEMS:
Practice Problems can be found here.
Office Hours:
Instructor's Office Hours: Mon, Wed 2:00-5:00 PM SSE Mathematics Department (9-145).
TA's Office Hours: Please click here.
QUIZZES:
Quizzes are to be held every Thursday on WebWork.
Quiz 1: Review of Functions.
Quiz 2: LImits.
Quiz 3: Continuity
Quiz 4: Derivatives and their properties.
Quiz 5: Chain Rule, Implicit Differentiation, Logarithmic Differentiation, Related Rates.
Quiz 6: Nature of the curve, Related Rates.
Quiz 7: Review Quiz.
Quiz 8: Optimization.
Quiz 9: Antiderivatives, Definite integrals as area, Riemann sums.
Quiz 10: Fundamental theorem of Calculus I and L'Hopital Rule.
Quiz 11: Fundamental theorem of Calculus II.
WEEKLY BREAKDOWN:
This portion of the website is to be updated weekly, depending on the topics covered so far. You can find all the lecture pictures here.
WEEK 1: Review of Pre-Calculus, Functions, and their types, and cardinality of sets.
WEEK 2: Introduction to limits, the epsilon-delta definition of limit.
WEEK 3: Limit Laws, Infinite limits, limits at infinity, One-sided limits, asymptotes.
WEEK 4: Continuous functions and their properties. [Continuity, Compact domains]
WEEK 5: Derivatives and their properties. [Der1 , Der2 ]
WEEK 6: Chain rule and Implicit Differentiation. Linear Approximations. [ChainRule, Implicit diff ]
WEEK 7: Related Rates and the nature of the curve. (Related rates.pdf)(Related Rates ) [Nature of the curve ]
WEEK 8: Mean value Theorem, Optimization (Relative and Absolute extrema). [MVT, Optimization ][Optimization cont. ]
MIDTERM: [Exam+Key]
MID-TERM (6-11-22)
WEEK 9: Optimization Problems, Antiderivatives. [Optimization+Antiderivatives ]
WEEK 10: Definite integrals as area, Riemann sums.
WEEK 11: Integral as a limit of Riemann sums, Fundamental theorem of Calculus [Part 1], L'Hopital Rule.
WEEK 12: Fundamental theorem of Calculus II, Area between curves.
WEEK 13: Techniques of Integration (Substitution + By Parts integration)
WEEK 14: Techniques of Integration (Trigonometric Substitution + Partial Fractions) and Goodbyes :-)
EXTRAS: Murder Mysteries and More ... [Slides]
FINAL EXAM: [Exam+Key ]
RECORDINGS OF ONLINE OFFICE HOURS (CLICK HERE )
FINAL EXAM (16-12-22)
GeoGebra:
For graphing and visualization, I recommend the use of GeoGebra.