Calculus I

General Course Information

Course Lecturer Name(s):  Dr. Aleksandr Myllari

Course Director Name: N/A

Course Lecturer(s) Contact Information:

Course Director Contact Information: N/A 

Course Lecturer(s) Office Hours:  TBA 

Course Director Office Hours: N/A

Course Lecturer(s) Office Location:  Building D (Leeward Hall), 2nd floor

Course Director Office Location: N/A

Course Support:   Mary Celestine,, Ext. 3601

Course Management tool: To learn to use Sakai, the Course management tool, access the link

Course Curriculum Information

Course Description: 

This introductory calculus course covers differentiation and integration of functions of one and several variables, with applications. After completing this course, students should have developed a clear understanding of the fundamental concepts of single variable calculus and get a range of skills allowing them to work effectively with the concepts. The basic concepts are: Derivatives as rates of change, computed as a limit of ratios and Integrals as a "sum," computed as a limit of Riemann sums. The course assumes students actively using Computer Algebra System(s) (Mathematica and/or Maxima).

Course Objectives: 

Topics include: 

  1. Concepts of Function, Limits and Continuity; 
  2. Differentiation Rules, Application to Graphing, Approximations, and Extremum Problems; 
  3. Definite and Indefinite Integration; 
  4. The Fundamental Theorem of Calculus; 
  5. Applications to Geometry: Area, Volume, and Arc Length; 
  6. Applications in Science  

Student Learning Outcomes:

Upon completion of this course students should be able to: 

  1. Evaluate limits; 
  2. Differentiate algebraic and trigonometric functions; 
  3. Solve maximum and minimum problems; 
  4. Solve related rates problems; 
  5. Apply methods of calculus to curve sketching; 
  6. Antidifferentiate polynomial and trigonometric functions; 
  7. Approximate integrals by Riemann sums; 
  8. Evaluate elementary integrals using substitutions and other methods.

Program Outcomes Met By This Course:


SAS Grading Scale: Grades will be assigned as follows:

A  = 89.5% or better

B+ = 84.5 - 89.4%

B  = 79.5 - 84.4%

C+ = 74.5 - 79.4%

C = 69.5 - 74.4%

D = 64.5 - 69.4%

F = 64.4% or less 

Course Materials:

Text: Lecture notes, William L. Briggs, Lyle Cochran, Bernard Gillett: Calculus (3d Edition), Pearson, 2019

Supplementary Readings/Resources: S.K. Chung: Understanding Basic Calculus; web resources


Course Grading Requirement:

Midterm exam                   



Final exam                          



Home assignments           






Course Requirements:

Students will be required to:

  • be prepared for class;
  • contribute thoughtful ideas to class discussions;
  • conduct themselves in an appropriate manner, including being respectful of the opinions of others; - listen carefully to instructions given by lecturer;  if you do not understand, ask the lecturer.

Course Schedule

  • Week 1   Introduction. Brief history of Calculus. Functions and graphs.  Introduction to Computer Algebra Systems
  • Week 2   Inverse functions. Exponential and logarithmic functions.  Trigonometric functions.  - Assignment 1, Quiz 1
  • Week 3   Limits.
  • Week 4   One-sided limits. Two-sided limits. Continuous functions. - Assignment 2, Quiz 2
  • Week 5   Derivatives. - Quiz3
  • Week 6   Derivatives (cont.) Chain rule. Higher-order derivatives - Assignment 3, Quiz 4
  • Week 7   Applications of differentiation: curve-sketching and extremum problems.
  • Week 8    Midterm Exams
  • Week 9   Applications of differentiation - Assignment 4, Quiz 5
  • Week 10  Functions of several variables
  • Week 11  Integration - Quiz 6
  • Week 12  Integration of rational functions. Integration by parts - Assignment 4, Quiz 7
  • Week 13  Definite integrals. Fundamental theorem of Calculus. - Assignment 5, Quiz 8
  • Week 14  Applications of definite integrals - Quiz 9
  • Week 15  Applications of Calculus.
  • Week 16  Final Exam

School of Arts and Sciences Master Syllabi — Info for All Sections

Plagiarism Policy

Academic Integrity

The St. George’s University Student Manual (2019/2020) states as follows:

Plagiarism is regarded as a cardinal offense in academia because it constitutes theft of the work of someone else, which is then purported as the original work of the plagiarist. Plagiarism draws into disrepute the credibility of the Institution, its faculty, and students; therefore, it is not tolerated” (p. 48).

Plagiarism also includes the unintentional copying or false accreditation of work, so double check your assignments BEFORE you hand them in.

Be sure to do good, honest work, credit your sources and reference accordingly and adhere to the University’s Honor Code. Plagiarism and cheating will be dealt with very seriously following the university’s policies on Plagiarism as outlined in the Student Manual.

Your work may be subject to submission to plagiarism detection software, submission to this system means that your work automatically becomes part of that database and can be compared with the work of your classmates.

Attendance Requirement

The St. George’s University Student Manual (2019/2020) states as follows:

Students are expected to attend all classes and or clinical rotations for which they have registered. Although attendance may not be recorded at every academic activity, attendance may be taken randomly. Students’ absence may adversely affect their academic status as specified in the grading policy. If absence from individual classes, examinations, and activities, or from the University itself is anticipated, or occurs spontaneously due to illness or other extenuating circumstances, proper notification procedures must be followed. A particular course may define additional policies regarding specific attendance or participation” (p. 9).

Examination Attendance

The St. George’s University Student Manual (2019/2020) states as follows:

All matriculated students are expected to attend all assigned academic activities for each course currently registered. Medical excuses will be based on self-reporting by students. Students who feel they are too sick to take an examination or other required activity on a specific day must submit the online SAS medical excuse, which is available on Carenage. Students are only allowed two such excuses a year. Upon consultation with the Director of University Health Service, the third excuse will result in a mandatory medical leave of absence. The policies regarding make-up examinations are at the option of the Course Director” (p.46).

For additional specific examination policies and procedures, refer to the St. George’s University Student Manual (2019/2020), pages 31 through 37.

Student Accessibility and Accommodation Services Policy

The St. George’s University Student Manual (2019/2020) states as follows:

A student with a disability or disabling condition that affects one or more major life activities, who would like to request an accommodation, must submit a completed application form and supporting documentation to the Student Accessibility and Accommodation Services (SAAS) located in the Dean of Students Office. It is highly recommended that students applying for accommodations do so at least one month before classes begin to allow for a more efficient and timely consideration of the request. If a fully completed application is not submitted in a timely fashion, an eligibility determination may not be made, and accommodations, where applicable, may not be granted prior to the commencement of classes and/or examinations” (p. 8).


It is the responsibility of the student to read and understand the policies, laws, rules and procedures that while they could affect your grade for a course, have not been specifically outlined in the course syllabus. These are contained in the St. George’s University Student Manual.