MAT136H1

Calculus II

0.50 FCE · St. George · Department of Mathematics · Term F / S / Y

Description

This second part of the introductory Calculus sequence focuses on integral calculus beginning with the Fundamental Theorem of Calculus, the connection between two seemingly unrelated problems: measuring changing quantities and finding areas of curved shapes. Students will develop a deep understanding of the integral, and use it to: unpack equations involving derivatives; to make sense of infinite sums; to write complicated functions as 'infinite polynomials'; and to compute areas, volumes, and totals in applied problems. This course will further develop students' abilities to translate between algebraic, graphical, numerical, and verbal descriptions of mathematics in a variety of applied contexts. This course is a continuation of MAT135H1 and will be useful for students interested in learning applied calculus in relation to future studies in economics, life science, and physical and mathematical science programs. The following concepts will be studied: Integration, basic techniques of integration (substitution and by parts), improper integrals, using computer algebra systems (CAS) for integration, Taylor polynomials and Taylor series, ratio test for power series, radius of convergence of power series, first-order differential equations and systems of differential equations: modelling, separable DEs, and using CAS to study and find solutions.

Prerequisite

MAT135H1/ MAT135H5/ MATA30H3/ MATA31H3/ APS162H1/ ESC194H1/ MAT186H1/ MAT196H1

Exclusion

MAT136H5/ MATA36H3/ APS163H1/ ESC195H1/ MAT187H1/ MAT197H1

Sections · 139

LEC

Section	Term	Meetings	Instructor	Enrol
LEC5101	Y	Tue 18:00–20:00 Thu 18:00–19:00	Jiawei Chen	111/141
LEC0101	F	Tue 13:00–15:00 · BA Thu 13:00–15:00 · BA Fri 13:00–15:00 · BA	Yitong Wang 0.0 (0)	147/160
LEC0101	S	Tue 13:00–15:00 · BA Thu 13:00–15:00 · BA Fri 13:00–15:00 · BA	Austin Sun	130/160
LEC5101	S	Thu 18:00–20:00 · SF Tue 18:00–20:00 · BA Fri 18:00–20:00 · BA	Delaram Sadatamin	88/140
LEC0101	F	Tue 10:00–11:00 · MP Thu 11:00–13:00 · MP	Xiaoyue Cui 5.0 (2)	142/180
LEC5101	F	Tue 17:00–18:00 · BA Thu 17:00–19:00 · BA	Elia Portnoy 3.7 (15)	130/159
LEC0101	S	Mon 11:00–13:00 · RW Wed 11:00–12:00 · RW	Xiao Zhong	140/140wl 13
LEC0201	S	Mon 13:00–15:00 · RW Wed 13:00–14:00 · RW	Dimitrios Karslidis	140/140wl 73
LEC0301	S	Mon 15:00–17:00 · HS Wed 16:00–17:00 · HS	Devin Hensley	250/250wl 10
LEC0401	S	Tue 09:00–11:00 · PB Thu 09:00–10:00 · HS	Amenda Chow	235/235wl 9
LEC0402	S	Tue 09:00–11:00 Thu 09:00–10:00	Lindsey Shorser 1.8 (8)	221/267
LEC0501	S	Tue 11:00–13:00 · BA Wed 11:00–12:00 · HS	Duncan Dauvergne 4.1 (11)	250/250wl 5
LEC0601	S	Tue 13:00–15:00 · MS Thu 13:00–14:00 · HS	Amenda Chow	235/235wl 31
LEC0701	S	Tue 15:00–17:00 · HS Wed 15:00–16:00 · HS	Jiaqi Fu	250/250
LEC0801	S	Tue 15:00–17:00 · WB Thu 15:00–16:00 · BR	Asif Zaman	210/210wl 8
LEC5101	S	Mon 17:00–19:00 · MS Wed 17:00–18:00 · MS	Elia Portnoy 3.7 (15)	196/240
LEC5102	S	Mon 17:00–19:00 Wed 17:00–18:00	Tianhao Xian 4.8 (37)	120/120
LEC5201	S	Mon 18:00–20:00 · SF Wed 18:00–19:00 · SF	undetermined	33/220
LEC5202	S	Mon 18:00–20:00 · RW Wed 18:00–19:00 · RW	Roy Shalev	51/140
LEC5301	S	Tue 17:00–19:00 · MP Thu 17:00–18:00 · MP	Polina Baron	114/188

TUT

Section	Term	Meetings	Instructor	Enrol
TUT0101	Y	Wed 12:00–13:00	undetermined	49/70
TUT0201	Y	Thu 12:00–13:00	undetermined	57/71
TUT0101	F	Tue 09:00–10:00 · OI Thu 09:00–10:00 · OI	undetermined	32/40
TUT0201	F	Tue 10:00–11:00 · OI Thu 10:00–11:00 · OI	undetermined	36/40
TUT0301	F	Tue 11:00–12:00 · OI Thu 11:00–12:00 · OI	undetermined	38/40
TUT0401	F	Tue 12:00–13:00 · BA Thu 12:00–13:00 · BA	undetermined	38/40
TUT0101	S	Mon 10:00–11:00 · BA Wed 10:00–11:00 · BA	undetermined	22/50
TUT0201	S	Tue 09:00–10:00 · BA Thu 09:00–10:00 · BA	undetermined	23/50
TUT0301	S	Tue 10:00–11:00 · BA Thu 10:00–11:00 · BA	undetermined	43/50
TUT0401	S	Thu 11:00–12:00 · OI Tue 11:00–12:00 · BA	undetermined	48/50
TUT5101	S	Mon 17:00–18:00 · BA Wed 17:00–18:00 · BA	undetermined	43/50
TUT5201	S	Mon 19:00–20:00 · BA Wed 19:00–20:00 · BA	undetermined	37/50
TUT0101	F	Wed 09:00–10:00 · BA	undetermined	25/43
TUT0201	F	Wed 11:00–12:00 · MP	undetermined	44/44
TUT0301	F	Wed 12:00–13:00 · HA	undetermined	43/43
TUT0302	F	Wed 12:00–13:00 · FE	undetermined	25/43
TUT0401	F	Wed 13:00–14:00 · NF	undetermined	38/40
TUT0501	F	Wed 16:00–17:00 · OI	undetermined	34/40
TUT5101	F	Wed 17:00–18:00 · FE	undetermined	17/43
TUT5102	F	Wed 17:00–18:00 · ES	undetermined	27/44
TUT0101	S	Fri 09:00–10:00 · BA	undetermined	30/30
TUT0102	S	Fri 09:00–10:00 · MP	undetermined	30/30
TUT0103	S	Fri 09:00–10:00 · MY	undetermined	30/30
TUT0104	S	Fri 09:00–10:00 · ES	undetermined	30/30
TUT0105	S	Fri 09:00–10:00 · MY	undetermined	30/30
TUT0106	S	Fri 09:00–10:00 · BA	undetermined	0/0
TUT0107	S	Fri 09:00–10:00 · MY	undetermined	0/0
TUT0108	S	Fri 09:00–10:00 · MY	undetermined	0/0
TUT0109	S	Fri 09:00–10:00	undetermined	30/30
TUT0110	S	Fri 09:00–10:00	undetermined	30/30
TUT0201	S	Fri 10:00–11:00 · BF	undetermined	30/30
TUT0202	S	Fri 10:00–11:00 · KP	undetermined	30/30
TUT0203	S	Fri 10:00–11:00 · UC	undetermined	30/30
TUT0204	S	Fri 10:00–11:00 · MY	undetermined	30/30
TUT0205	S	Fri 10:00–11:00 · MY	undetermined	30/30
TUT0206	S	Fri 10:00–11:00 · MY	undetermined	30/30
TUT0207	S	Fri 10:00–11:00 · EP	undetermined	30/30
TUT0208	S	Fri 10:00–11:00 · MP	undetermined	30/30
TUT0209	S	Fri 10:00–11:00 · ES	undetermined	30/30
TUT0210	S	Fri 10:00–11:00 · BF	undetermined	30/30
TUT0211	S	Fri 10:00–11:00	undetermined	30/30
TUT0212	S	Fri 10:00–11:00	undetermined	30/30
TUT0301	S	Fri 11:00–12:00 · BA	undetermined	35/35
TUT0302	S	Fri 11:00–12:00 · MP	undetermined	30/30
TUT0303	S	Fri 11:00–12:00 · BA	undetermined	30/30
TUT0304	S	Fri 11:00–12:00 · MY	undetermined	30/30
TUT0305	S	Fri 11:00–12:00 · MY	undetermined	30/30
TUT0306	S	Fri 11:00–12:00 · MY	undetermined	30/30
TUT0307	S	Fri 11:00–12:00 · MY	undetermined	29/30
TUT0308	S	Fri 11:00–12:00 · MY	undetermined	30/30
TUT0309	S	Fri 11:00–12:00 · BF	undetermined	30/30
TUT0310	S	Fri 11:00–12:00 · BA	undetermined	30/30
TUT0311	S	Fri 11:00–12:00	undetermined	29/30
TUT0312	S	Fri 11:00–12:00	undetermined	30/30
TUT0401	S	Fri 12:00–13:00 · MY	undetermined	30/30
TUT0402	S	Fri 12:00–13:00 · MY	undetermined	30/30
TUT0403	S	Fri 12:00–13:00 · MY	undetermined	30/30
TUT0404	S	Fri 12:00–13:00 · AP	undetermined	30/30
TUT0405	S	Fri 12:00–13:00 · MP	undetermined	30/30
TUT0406	S	Fri 12:00–13:00 · MY	undetermined	30/30
TUT0407	S	Fri 12:00–13:00 · MY	undetermined	30/30
TUT0408	S	Fri 12:00–13:00 · MY	undetermined	30/30
TUT0409	S	Fri 12:00–13:00 · BA	undetermined	30/30
TUT0410	S	Fri 12:00–13:00 · MY	undetermined	30/30
TUT0411	S	Fri 12:00–13:00	undetermined	30/30
TUT0412	S	Fri 12:00–13:00	undetermined	30/30
TUT0501	S	Fri 13:00–14:00 · AP	undetermined	30/30
TUT0502	S	Fri 13:00–14:00 · MY	undetermined	30/30
TUT0503	S	Fri 13:00–14:00 · MY	undetermined	30/30
TUT0504	S	Fri 13:00–14:00 · UC	undetermined	30/30
TUT0505	S	Fri 13:00–14:00 · SS	undetermined	30/30
TUT0506	S	Fri 13:00–14:00 · EP	undetermined	30/30
TUT0507	S	Fri 13:00–14:00 · BF	undetermined	30/30
TUT0508	S	Fri 13:00–14:00 · SS	undetermined	30/30
TUT0509	S	Fri 13:00–14:00 · UC	undetermined	30/30
TUT0510	S	Fri 13:00–14:00 · MP	undetermined	30/30
TUT0601	S	Fri 14:00–15:00 · EP	undetermined	30/30
TUT0602	S	Fri 14:00–15:00 · AP	undetermined	30/30
TUT0603	S	Fri 14:00–15:00 · BA	undetermined	30/30
TUT0604	S	Fri 14:00–15:00 · MY	undetermined	30/30
TUT0605	S	Fri 14:00–15:00 · MS	undetermined	30/30
TUT0606	S	Fri 14:00–15:00 · BF	undetermined	30/30
TUT0607	S	Fri 14:00–15:00 · MY	undetermined	30/30
TUT0608	S	Fri 14:00–15:00 · MY	undetermined	30/30
TUT0609	S	Fri 14:00–15:00 · MY	undetermined	24/30
TUT0610	S	Fri 14:00–15:00 · HS	undetermined	16/30
TUT0701	S	Fri 15:00–16:00 · MY	undetermined	20/30
TUT0702	S	Fri 15:00–16:00 · UC	undetermined	28/30
TUT0703	S	Fri 15:00–16:00 · MY	undetermined	6/30
TUT0704	S	Fri 15:00–16:00 · MY	undetermined	8/30
TUT0705	S	Fri 15:00–16:00 · BF	undetermined	13/30
TUT0706	S	Fri 15:00–16:00 · MY	undetermined	0/0
TUT0707	S	Fri 15:00–16:00 · MP	undetermined	0/0
TUT0708	S	Fri 15:00–16:00 · MY	undetermined	0/0
TUT0709	S	Fri 15:00–16:00 · AP	undetermined	0/0
TUT0710	S	Fri 15:00–16:00 · MY	undetermined	0/0
TUT0711	S	Fri 15:00–16:00	undetermined	22/30
TUT0712	S	Fri 15:00–16:00	undetermined	9/30
TUT0801	S	Fri 16:00–17:00 · MY	undetermined	29/30
TUT0802	S	Fri 16:00–17:00 · MY	undetermined	9/30
TUT0803	S	Fri 16:00–17:00 · MY	undetermined	12/30
TUT0804	S	Fri 16:00–17:00 · MY	undetermined	0/0
TUT0805	S	Fri 16:00–17:00 · MY	undetermined	0/0
TUT0806	S	Fri 16:00–17:00 · MP	undetermined	0/0
TUT0807	S	Fri 16:00–17:00 · MY	undetermined	0/0
TUT0808	S	Fri 16:00–17:00 · MY	undetermined	0/0
TUT0809	S	Fri 16:00–17:00	undetermined	12/30
TUT0810	S	Fri 16:00–17:00	undetermined	11/30
TUT5101	S	Thu 17:00–18:00	undetermined	30/30
TUT5102	S	Thu 17:00–18:00 · MY	undetermined	30/30
TUT5103	S	Thu 17:00–18:00 · MY	undetermined	19/30
TUT5104	S	Thu 17:00–18:00 · MP	undetermined	11/30
TUT5105	S	Thu 17:00–18:00 · AP	undetermined	10/30
TUT5106	S	Thu 17:00–18:00 · BA	undetermined	9/30
TUT5107	S	Thu 17:00–18:00 · MY	undetermined	13/30
TUT5201	S	Thu 18:00–19:00	undetermined	27/30
TUT5202	S	Thu 18:00–19:00 · MY	undetermined	21/30
TUT5203	S	Thu 18:00–19:00 · MY	undetermined	0/0
TUT5204	S	Thu 18:00–19:00 · MY	undetermined	0/0