• Mathematical Induction
• Sequences and Series
• Completeness
• Functions
• Integral for Step Functions
• Integral for More General Functions
• Applications of Integration
• Limits
• Continuity
• Intermediate Value Theorem
• Inversion
• Extreme - Value Theorem
• Integrability Theorem
• Mean - Value Theorem for Integrals
• Derivatives
• Implicit Differentiation
• Extreme Values
• Mean - Value Theorem for Derivatives
• Curve Sketching
• Fundamental Theorem of Calculus
• Integration by Substitution
• Integration by Parts
• Logarithm
• Exponential Function
• Integration by Partial Fractions
• Complex Numbers
   

There will be weekly homework assignments. All assignments and due dates will be clearly posted in the Homework section below. Homework is due Monday at noon. Please submit your completed work in the appropriate Section Box outside of the Math Office, 253 Sloan. Graded assignments will be directly returned to you by your TA during office hours or at recitation.

Exams:

A two hour exam will be given after week 5 and a cumulative Final Exam. No one will be excused from the final. Only exams submitted in a Blue Book will be graded.

Grading:

The awarding of a final grade of Pass or Fail will depend on a composite of these factors; the midterm exam will be worth 1/3, the final exam will be worth 1/3, and the homework will be worth 1/3.

Collaboration and Tools:

The use of calculators, computer software, homework assignments and solution sets from previous terms, books and notes and or other such tools is NOT permitted on the exams. Collaboration on exams is not allowed.

Collaboration is allowed on the homework but you must write the solutions in your own language. Use of books and notes is allowed on the homework but you may not use solution sets from previous terms if they do the exact same problems. Use of calculators and computer software is allowed for homework but you are encouraged (unless software is specifically mentioned in the homework) to only use these tools to check your work.

Recitations:

Go to the recitations! Each week, a portion of the recitation will be dedicated to introducing some computational (or even theoretical) aspect which the Instructor will not have time to present in class. In general, get to know your TA and bug him to death (figuratively speaking) with your questions, and try to fill in all the holes in your understanding of the subject. It is very important that you do not fall behind in class. Please seek help early and often when you have questions.

Extra Help: Tutoring is available for anyone who feels they would benefit from some extra assistance.

Office Hours:

Instructor and TA office hours will be posted very soon.