Emine ÇELİK

Spring 2025 Mathematics II

MAT112  Homepage

Spring 2025 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. 

  "The two questions, the first that of finding the description of the curve from its elements, the second that of finding the figure from the given differences, both reduce to the same thing. From this it can be taken that the whole of the theory of the inverse method of the tangents is reducible to quadratures." (Leibniz 1673)

   
• 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.