Calculus 1 (MATH 1100)
This course is designed to provide students with a fundamental knowledge of differential calculus. Topics include the concepts of limit and continuity; rates of change; basic differentiation rules; derivatives of algebraic and transcendental functions; applied optimization problems; implicit differentiation and related rates; the mean value theorem; linear approximations; curve sketching; simple differential equations and models; antiderivatives; simple parametric equations and polar coordinates.
Prerequisite: MATH 0993 with a B (MATH 1020 with a C, Math 12-Precalculus with a B, Math 12-Principles with a B, or Math Precalculus Test (MPT) with a B, or equivalent
Course code: MATH 1100
Credits: 3.0
Tuition: $0*
Length: 60 hours
Course outline:
view
https://www.vcc.ca/cfm-files/course-outline.cfm?subject=MATH&number=1100
Schedule†
MATH 1100 schedule for programs:
- MUSD
- NUSB
- NUSD
- UPHS
- USCC
- UTAC
- UTCS
- UTEG
- UTES
Course dates and times may vary throughout the term. Select the CRN number below to see a full schedule.
| CRN # | Instructor | Dates | Day/Time | Instructor |
|---|---|---|---|---|
|
44465
|
Kakushkin, Gabriela |
January 6, 2020
to April 24, 2020 |
Mon, Wed | 3:00 p.m - 5:00 p.m | Kakushkin, Gabriela |
Schedule†
MATH 1100 schedule for programs:
- MUSD
- NUSB
- NUSD
- UPHS
- USCC
- UTAC
- UTAR
- UTCS
- UTEG
- UTES
- UTSC
Course dates and times may vary throughout the term. Select the CRN number below to see a full schedule.
| CRN # | Instructor | Dates | Day/Time | Instructor |
|---|---|---|---|---|
|
61130
|
Mandryk, Natasha |
May 4, 2020
to June 30, 2020 |
Mon, Tue, Wed, Thu | 10:30 a.m - 12:30 p.m | Mandryk, Natasha |
Schedule†
MATH 1100 schedule for programs:
- UTAR
- UTSC
Course dates and times may vary throughout the term. Select the CRN number below to see a full schedule.
| CRN # | Instructor | Dates | Day/Time | Instructor |
|---|---|---|---|---|
|
74791
|
Kakushkin, Gabriela |
September 8, 2020
to December 22, 2020 |
Tue, Thu | 10:30 a.m - 12:30 p.m | Kakushkin, Gabriela |
|
74789
|
Kakushkin, Gabriela |
September 8, 2020
to December 22, 2020 |
Mon, Wed | 3:00 p.m - 5:00 p.m | Kakushkin, Gabriela |
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| SQL | SELECT ssbsect_crn, ssbsect_term_code, ssrblck_blck_code, ssrmeet_start_date, ssrmeet_end_date, TO_CHAR(ssrmeet_start_date, 'DD-Mon-YYYY') AS start_date, TO_CHAR(ssrmeet_end_date, 'DD-Mon-YYYY') AS end_date, ssrmeet_begin_time, ssrmeet_end_time, TRUNC( TO_DATE(CONCAT(ssrmeet_begin_time,'00'),'HH24:MI:SS')) + ( ROUND( (TO_DATE(CONCAT(ssrmeet_begin_time,'00'),'HH24:MI:SS') - TRUNC(TO_DATE(CONCAT(ssrmeet_begin_time,'00'),'HH24:MI:SS')) ) * 96 ) / 96) as begin_time_round, TRUNC( TO_DATE(CONCAT(ssrmeet_end_time,'00'),'HH24:MI:SS')) + ( ROUND( (TO_DATE(CONCAT(ssrmeet_end_time,'00'),'HH24:MI:SS') - TRUNC(TO_DATE(CONCAT(ssrmeet_end_time,'00'),'HH24:MI:SS')) ) * 96 ) / 96) as end_time_round, DECODE(ssrmeet_sun_day, 'U', 'Sun ', '') || DECODE(ssrmeet_mon_day, 'M', 'Mon ', '') || DECODE(ssrmeet_tue_day, 'T', 'Tue ', '') || DECODE(ssrmeet_wed_day, 'W', 'Wed ', '') || DECODE(ssrmeet_thu_day, 'R', 'Thu ', '') || DECODE(ssrmeet_fri_day, 'F', 'Fri ', '') || DECODE(ssrmeet_sat_day, 'S', 'Sat ','') AS day_of_week, ssrmeet_bldg_code, ssrmeet_room_code, sirasgn_pidm, ssbsect_seats_avail, ssbsect_wait_count, ssbsect_voice_avail, ssrmeet_schd_code, stvschd_desc FROM ssbsect INNER JOIN stvschd ON ssbsect_schd_code = stvschd_code AND ssbsect_schd_code NOT IN ('PLA', 'CL', 'CB', 'CI', 'T') LEFT OUTER JOIN ssrblck ON ssrblck_term_code = ssbsect_term_code AND ssrblck_crn = ssbsect_crn LEFT OUTER JOIN ssrmeet ON ssrmeet_term_code = ssbsect_term_code AND ssrmeet_crn = ssbsect_crn LEFT OUTER JOIN sirasgn ON sirasgn_crn = ssbsect_crn AND sirasgn_term_code = ssbsect_term_code WHERE ssbsect.ssbsect_subj_code = 'MATH' AND ssbsect.ssbsect_crse_numb = '1100' AND ssbsect.ssbsect_term_code >= 202040 AND ssbsect.ssbsect_ssts_code = 'A' AND ssbsect.ssbsect_ptrm_end_date > sysdate-1 ORDER BY ssrmeet_start_date, ssrmeet_begin_time, ssbsect_crn | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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Additional Information
What you will learn
- Prelude to Calculus: tangent lines and slope predictors; limit concept; more limits; concept of continuity The Derivative: the derivative and rates of change; basic differentiation rules; chain rule; derivatives of algebraic functions; maxima and minima of functions; applied optimization problems; derivatives of trigonometric functions and their inverses; exponential and logarithmic functions; implicit differentiation and related rates; successive approximations and Newton’s method.
- Applications of the Derivative: differentials and linear approximations; increasing and decreasing functions; mean value theorem; first derivative test and applications; curve sketching; higher derivatives and concavity; simple curve sketching and asymptotes; indeterminate forms and L'Hopital's rule; more indeterminate forms
- Antiderivatives: antiderivatives and initial value problems
- Differential Equations: simple equations and models
Prior learning assessment and recognition (PLAR)
Recognition - Math 1100 Challenge Exam with a C (not accepted for the UT Engineering Certificate or the UT Computer Science and Software Systems Certificate).
How do I apply for this course?
This course is offered as part of a VCC program only.
* Fees are approximate and subject to change. Students are required to pay any applicable fee increases. Fees listed are for domestic students. For international programs, visit VCC International.
† This information is intended as a guideline only. Program and course details are subject to change with the approval of VCC's Board of Governors.
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