Calculus for Commerce and Life Sciences 1 MATH 113 University Studies Program. Course Outline

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1 Calculus for Commerce and Life Sciences 1 MATH 113 University Studies Program Course Outline COURSE IMPLEMENTATION DATE: February 2004 OUTLINE EFFECTIVE DATE: September 2014 COURSE OUTLINE REVIEW DATE: April 2019 GENERAL COURSE DESCRIPTION: This course can be taken by any student aspiring to learn about calculus, but is intended for students who are studying Biology, Psychology or Commerce. The focus of the course is derivatives and their applications in these fields. Topics include functions, limits, continuity, and the Intermediate Value Theorem; first and second derivatives of functions, including logarithms, exponentials and trigonometric functions; linear approximation, Newton s Method, optimization problems and curve sketching and antiderivatives, substitution and areas between curves. At least two of the following topics are included: derivatives of inverse trigonometric functions, related rates, probability and statistics, matrices and Gaussian elimination; partial derivatives and Lagrange Multipliers. Program Information: This is a required course for a Bachelor of Science or Bachelor of Commerce degree in most universities. MATH 113 can be used as three of the six units in Calculus which are required for an Associate of Science degree at College of the Rockies. Students may not use more than one of MATH 103, MATH 109, or MATH 113 towards the degree. Delivery: This course is delivered face-to-face. COTR Credits: 3 Hours for this course: 60 hours Typical Structure of Instructional Hours: Practicum Hours (if applicable): Instructional Activity Duration Type of Practicum Duration Lecture Hours 45 On-the-job Experience Seminars / Tutorials Formal Work Experience Laboratory / Studio Hours 15 Other Practicum / Field Experience Hours Total Other Contact Hours Total 60 1

2 Course Outline Author or Contact: James L. Bailey, PhD Signature APPROVAL SIGNATURES: Department Head Ildi Walkley Dean of Instruction Darrell Bethune Department Head Signature Dean of Instruction Signature EDCO Valid from: September 2014 April 2019 Education Council Approval Date COURSE PREREQUISITES AND TRANSFER CREDIT: Prerequisites: Minimum 65% in one of the following Math courses: MATH 090, MATH 093, or MATH 100, Pre-Calculus 12, Principles 12 or equivalent. Corequisites: None Flexible Assessment (FA): Credit can be awarded for this course through FA Yes No Learners may request formal recognition for flexible assessment at the College of the Rockies through one or more of the following processes: External Evaluation, Worksite Assessment, Demonstration, Standardized Test, Self-assessment, Interview, Products/Portfolio, Challenge Exam. Contact an Education Advisor for more information. Transfer Credit: For transfer information within British Columbia, Alberta and other institutions, please visit Prior Course Number: Students should also contact an academic advisor at the institution where they want transfer credit. Aug. 1, 2014 as H:\PSC\OUTLINE\2014_Fall\MATH113.docx 2

3 Textbooks and Required Resources: Textbook selection varies by instructor and may change from year to year. At the Course Outline Effective Date the following textbooks were in use: Calculus Ideas & Applications by Himonas & Howard, Wiley, Please see the instructor s syllabus or check COTR s online text calculator for a complete list of the currently required textbooks. LEARNING OUTCOMES: University Studies at the College of the Rockies allow students to complete their first two years of study towards a university degree. College students gain academic knowledge and skills in their chosen subjects. They also cover general problem-solving and critical thinking skills. The combination can empower them to participate as educated citizens in the economic, political and cultural life of their communities. Upon the successful completion of this course, students should be able to demonstrate an expansion of knowledge and skills in algebra; employ a variety of problem solving methods; use a CAS (Maple) as a tool in the problem solving process; interpret and appreciate the applications of the concepts studied; take derivatives of functions including rational and transcendental functions and give the geometric and/or physical interpretations of the first and second derivatives; use derivatives to solve problems in economics, commerce, biology and other social sciences; solve a variety of applied optimization problems; and find antiderivatives using Riemann sums, substitution and the Fundamental Theorem of Calculus. This course should help students think critically and creatively; solve problems; work both independently and in groups; transfer knowledge to new contexts; understand and interpret abstract written materials; use abstract ideas to solve applied problems; and appreciate the importance of persistence, a positive attitude and energy. Aug. 1, 2014 as H:\PSC\OUTLINE\2014_Fall\MATH113.docx 3

4 COURSE TOPICS: Core Topics: 2/3 of the course Limits, continuity and intermediate value theorem Differentiation o First and second derivatives with geometrical and physical interpretations o Applications to economics, business and social sciences o Derivatives of exponential and logarithmic functions, exponential growth and decay with applications o Derivatives of trigonometric functions o Differentiation rules (including the chain rule and implicit differentiation) o Linear approximations and Newton's method o Optimization local and absolute extrema with applications Curve Sketching Additional Topics: 1/3 of the course will cover a minimum of two of the following: Introduction to probability and statistics Matrix analysis and Gaussian elimination Derivatives of the inverse trigonometric functions Related rates Partial derivatives and Lagrange multipliers See instructor s syllabus for the detailed outline of weekly readings, activities and assignments. ESSENTIAL SKILLS DEVELOPED IN THIS COURSE: Students can expect to develop the following skills in this course: Computer Skills Access COTR s online learning resources Use a CAS (Maple) to solve problems Skills for Busy Students Manage study time effectively Set educational priorities and goals Recognize personal learning style Use effective note-taking strategies Develop problem-solving and memory skills Practice strategies to reduce stress level and deal with anxiety Practice strategies to succeed at exams and tests Use support systems and College resources Aug. 1, 2014 as H:\PSC\OUTLINE\2014_Fall\MATH113.docx 4

5 EVALUATION AND ASSESSMENT: Maple Labs Assignments Midterms Final Exam Assignments Total % Of Total Grade 10% 20% 30% 40% 100% Please see the instructor s syllabus for specific classroom policies related to this course, such as details of evaluation, penalties for late assignments and use of electronic aids. EXAM POLICY: Students must attend all required scheduled exams that make up a final grade at the appointed time and place. Individual instructors may accommodate for illness or personal crisis. Additional accommodation will not be made unless a written request is sent to and approved by the appropriate Department Head prior to the scheduled exam. Any student who misses a scheduled exam without approval will be given a grade of 0 for the exam. COURSE GRADE: Course grades are assigned as follows: Grade A+ A A- B+ B B- C+ C C- D F Mark (Percent) < 50 A grade of "D" grants credit, but may not be sufficient as a prerequisite for sequential courses. ACADEMIC POLICIES: See for general college policies related to course activities, including grade appeals, cheating and plagiarism. COURSE CHANGES: Information contained in course outlines is correct at the time of publication. Content of the courses is revised on an ongoing basis to ensure relevance to changing educational, employment and marketing needs. The instructor endeavours to provide notice of changes to students as soon as possible. The instructor reserves the right to add or delete material from courses. Aug. 1, 2014 as H:\PSC\OUTLINE\2014_Fall\MATH113.docx 5

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