Emine ÇELİK

Spring 2024 Mathematics II

MAT112  Homepage

Spring 2024 Sakarya University

Mathematics II (4+0) 4 credits

 

Course Information

Instructor: Emine Çelik

Email: eminecelik@sakarya.edu.tr

Office: #308 Department of Mathematics

Homepage: https://eminecelik.sakarya.edu.tr/

 

Textbooks: 

[1] Thomas, G.B., Thomas` Calculus, 13e, Pearson Education, 2013.

[2] Larson, R., Edwards, B., Calculus, 11e, Cengage Learning, 2018.

[3] Stewart, J.  Calculus, 8e, Cengage Learning, 2016.

 

Class Handouts

• Important Trigonometric Identities
• Important Derivatives and Integrals

 

Student Learning Outcomes

Upon completion of this course, students will be able to

• Compute indefinite integral by hand using different methods
• understand the idea of definite integral
• use definite integral to find area, volume, arclength, etc.
• determine improper integral and study of their convergenges. 

 

Tentative Course Schedule

• Week 1. Antiderivative. Indefinite Integral. Substitution. 
• Week 2. Substitution. Integration by parts.
• Week 3. Integral of Rational Functions. Partial Fraction Decomposition. Worksheet 1.
• Week 4. Integration of Trigonometric Functions.
• Week 5. Trigonometric Substitution. Integration of Irrational Functions.
• Week 6. Integration of Irrational Functions. Binomial Integration.
• Week 7. Reduction Formulas.Integration of Hyperbolic Trigonometric Functions. Worksheet 2.
• Week 8. Area. Finding area of a region on the plane by limit. Worksheet 3.
• Week 9. 
• Week 10.
• Week 11. 
• Week 12.
• Week 13. 
• Week 14.
• Final Week.