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MATH 2000 [1.0 credit] Multivariable Calculus and Fundamentals of Analysis


Higher dimensional calculus, chain rule, gradient, line and multiple integrals with applications. Use of implicit and inverse function theorems. Real number axioms, limits, continuous functions, differentiability, infinite series, uniform convergence, the Riemann integral.
Precludes additional credit for BIT 2005 (no longer offered), MATH 2004, MATH 2008, and MATH 3009.
Prerequisite(s): i) MATH 2052 with a grade of C+ or higher, or (MATH 2007 or MATH 1005 with a grade of B+ or higher and permission of the School); and ii) MATH 2152 with a grade of C+ or higher, or MATH 1107 or MATH 1104 with a grade of B+ or higher; and iii) MATH 1800 with a grade of C+ or higher; or permission of the School.
Lectures three hours a week, tutorial one hour a week.

Mathematics and Statistics

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/mathematicsandstatistics/

MATH 2000 requires C+ in (MATH 1002 (no longer offered) or  MATH 2052 ) , or B+ in ( MATH 2007 or MATH 1005 ), and C+ in (MATH 1102 (no longer offered) or MATH 2152 ), or B+ in ( MATH 1107 or MATH 1104 ). MATH 2100 requires C+ in (MATH 1102 (no longer offered) or MATH 2152 ), or B+ in MATH 2107 . MATH 2454 requires C+ in (MATH 1002 (no longer offered) or  MATH 2052 or MATH 2007 or MATH 1005 ), and C+ in (MATH 1102 (no longer offered)  or  MATH 2152  or  MATH 2107 ). STAT 2655 requires C+ in (MATH 1002 (no longer offered) or MATH 2052  or MATH 2007 or MATH 1005 ), and C+ in (MATH 1102 (no longer offered) or MATH 2152  or  MATH 1107 or MATH 1104 ). MATH 2007 requires MATH 1004 or C- in ( MATH 1007 or MATH 1009 ). MATH 2107 requires MATH 1104 or C- in MATH 1107  

Co-operative Education

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/regulations/co-operativeeducation/

...Mathematics Honours, Combined B.Math/M.Sc. Bachelor...second-year courses, SOCI 2000 and SOCI 2001...

Economics

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/economics/

...that MATH 2000 is a prerequisite to upper year MATH courses such as MATH 3001...

Academic Regulations for Degree Students

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/regulations/academicregulationsoftheuniversity/regulations-for-degree-students/

...Cog. Sc. or B.Math. degree may apply...major and at the 2000 level or above...

French

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/french/

...in FREN at the 2000 level or higher...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...

Open Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/openstudies/

...of Credits Below the 2000-level, and the...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...

Sociology

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/sociology/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Criminology and Criminal Justice

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/criminologyandcriminaljustice/

...of the 1000- and 2000-level requirements in...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...

Biology

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/biology/

...elective credit at the 2000-level or above...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...

History

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/history/

...one course at the 2000-or 3000-level...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...

Philosophy

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/philosophy/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Geography

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/geography/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

History and Theory of Architecture

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/historyandtheoryofarchitecture/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

European and Russian Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/europeanandrussianstudies/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Journalism

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/journalism/

...may not continue into 2000-level JOUR courses...also include one 4U Math, and either 4U...

English

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/english/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Law

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/law/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Communication and Media Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/communicationstudies/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Political Science

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/politicalscience/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

African Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/africanstudies/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Music

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/music/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Film Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/filmstudies/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Canadian Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/canadianstudies/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Women's and Gender Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/womensandgenderstudies/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Art History

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/arthistory/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Greek and Roman Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/greekandromanstudies/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Geomatics

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/geomatics/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Indigenous Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/indigenousstudies/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Psychology

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/psychology/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Engineering

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/engineering/

...Successful completion of MATH 1004 , MATH 1104 , CHEM...may not continue into 2000-level (or higher...

Anthropology

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/anthropology/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Environmental Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/environmentalstudies/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Human Rights and Social Justice

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/humanrights/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Religion

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/religion/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Applied Linguistics and Discourse Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/appliedlinguisticsanddiscoursestudies/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Childhood and Youth Studies

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/childhoodandyouthstudies/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Linguistics (Bachelor of Arts)

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/linguistics-ba/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Linguistics

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/undergradprograms/linguistics/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Bachelor of Arts

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/regulations/academicregulationsandrequirementsforthebachelorofartsdegree/

...ISCS, ISYS, ITEC, MAAE, MATH, MECH, NET, NEUR...0 credit at the 2000- or 3000-level...

Bachelor of Engineering Degree

Undergraduate Calendar

http://calendar.carleton.ca/undergrad/regulations/academicregulationsandrequirementsforthebachelorofengineeringdegree/

...Successful completion of MATH 1004 , MATH 1104 , CHEM...may not continue into 2000-level (or higher...