M athem atical analysis I

Textbook & Course Materials
Required Text
• Claudio Canuto & Anita Tabacco, Mathematical 
Analysis I - Universitext -Springer 2008, 434p.
Recommended Texts & Other Readings
• 
Problems in Mathematical Analysis - B. P. Demidovich 
- 2nd Edition. ISBN-10: 0846407612. 
https://ia802803.us.archive.Org/9/items/problemsinm 
athem031405mbp/problemsinmathem031405mbp.pdf
• Other readings will be made available in the
Page 3

---

Mathematical Analysis I
3-Semester Syllabus
Course Requirements
• Internet connection (DSL, LAN, or cable connection 
desirable)
• Access to LMS/Didattica/Web site/Other
• Texts, readings, handouts and other learning resources 
for success in the course.
Course Structure
Traditional exercise class will complete the frontal lectures. The course 
credit is 10. Totally 150 hours: Lecture 90 hours and Practice 60 hours.
Online Resources
https://didattica. polito. it/ Diddatica portal.
Page 4
r

---

Part 2: Student Learning Outcomes
Upon successful completion of this course, students will:
1. Solve tangent and area problems using the concepts of limits, 
derivatives, and integrals.
2. Draw graphs of algebraic and transcendental functions considering 
limits, continuity, and differentiability at a point.
3. Determine whether a function is continuous and/or differentiable at a 
point using limits.
4. Use differentiation rules to differentiate algebraic and transcendental 
functions.
5. Identify appropriate calculus concepts and techniques to provide 
mathematical models of real-world situations and determine solutions 
to applied problems.
6. Evaluate definite integrals using the Fundamental Theorem of Calculus.
7. Demonstrate an understanding of the relationship between derivatives 
and integrals using the Fundamental Theorem of Calculus.
8. Find a solution ODE of first and second degree.
You will meet the objectives listed above through a combination of the 
following activities in this course:
• Attend to course
• Examination
Page 5

---