General Instructions:

• 1st midterm will consist of 6-8 questions. To obtain the full credit, not only the correct answer but the calculations leading to the answer must be shown. For multiple choice questions, the detailed answer is not required unless stated otherwise.
• Studying and practicing homework problems is important for the exam, but not all questions on the exam are drawn from the homework. Questions can also be based upon examples I or your TAs have covered in lectures and discussions.
• Theory is also important. You could be asked to answer simple questions about definitions and describe concepts. For example, you could be asked what is the improper integral.
• No books, notes, calculators or other computer aid is permitted on the exam.
• A table with relevant identities and standard integrals will be provided.

MidTerm Exam 1 Content:

Midterm Exam 1 will cover sections 6.1-6.6 (excluding 6.5),7.1.

• Simple substitutions, integration by parts for definite and indefinite integrals
• Trigonometric techniques of integration: powers of trigonometric functions, trigonometric substitutions
• Integration of rational functions, partial fractions.
• Improper integrals: discontinuous integrand, infinite limit of integrations, comparison test
• Differential equations. Exponential growth and decay.