BSc: Mathematical Analysis I.f22 - Revision history

R.sirgalina: /* Mathematical Analysis I */

2022-11-11T08:00:25Z

Mathematical Analysis I

← Older revision		Revision as of 08:00, 11 November 2022
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	* Jerrold E. Marsden and Alan Weinstein, Calculus I, II, and II. Springer-Verlag, Second Edition 1985 [https://www.cds.caltech.edu/~marsden/volume/Calculus/ link]		* Jerrold E. Marsden and Alan Weinstein, Calculus I, II, and II. Springer-Verlag, Second Edition 1985 [https://www.cds.caltech.edu/~marsden/volume/Calculus/ link]
	* Zorich, V. A. Mathematical Analysis I, Translator: Cooke R. (2004)		* Zorich, V. A. Mathematical Analysis I, Translator: Cooke R. (2004)
		+
		+	= Teaching Methodology: Methods, techniques, & activities =

	== Activities and Teaching Methods ==		== Activities and Teaching Methods ==

I.konyukhov: /* Course grading range */

2022-10-27T15:11:13Z

Course grading range

← Older revision		Revision as of 15:11, 27 October 2022
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	! Grade !! Range !! Description of performance		! Grade !! Range !! Description of performance
	\|-		\|-
−	\| A. Excellent \|\| 90-100 \|\| -	+	\| A. Excellent \|\| 85-100 \|\| -
	\|-		\|-
−	\| B. Good \|\| 75-89 \|\| -	+	\| B. Good \|\| 70-84 \|\| -
	\|-		\|-
−	\| C. Satisfactory \|\| 60-74 \|\| -	+	\| C. Satisfactory \|\| 50-69 \|\| -
	\|-		\|-
−	\| D. Fail \|\| 0-59 \|\| -	+	\| D. Fail \|\| 0-49 \|\| -
	\|}		\|}

I.konyukhov at 06:59, 9 September 2022

2022-09-09T06:59:57Z

← Older revision		Revision as of 06:59, 9 September 2022
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	\| Midterm \|\| 20		\| Midterm \|\| 20
	\|-		\|-
−	\| ~~Quizzes~~ \|\| 28 (2 for each)	+	\| Tests \|\| 28 (14 for each)
	\|-		\|-
	\| Final exam \|\| 50		\| Final exam \|\| 50

I.konyukhov: /* Final assessment */

2022-09-02T06:23:27Z

Final assessment

← Older revision		Revision as of 06:23, 2 September 2022
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	=== Final assessment ===		=== Final assessment ===
		+
	==== Section 1 ====		==== Section 1 ====
		⚫	# Find a limit of a sequence
		⚫	# Find a limit of a function
		+
		⚫	==== Section 2 ====
	# Apply the appropriate differentiation technique to a given problem.		# Apply the appropriate differentiation technique to a given problem.
	# Find a derivative of a function		# Find a derivative of a function
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	# Find asymptotes of a parametric function		# Find asymptotes of a parametric function

−	==== Section 2 ====	+	==== Section 3 ====
	# Apply the appropriate integration technique to the given problem		# Apply the appropriate integration technique to the given problem
	# Find the value of the devinite integral		# Find the value of the devinite integral
	# Calculate the area of the domain or the length of the curve		# Calculate the area of the domain or the length of the curve
−
⚫	==== Section 3 ====
⚫	# Find a limit of a sequence
⚫	# Find a limit of a function

	=== The retake exam ===		=== The retake exam ===

I.konyukhov: /* Ongoing performance assessment */

2022-09-02T06:23:01Z

Ongoing performance assessment

← Older revision		Revision as of 06:23, 2 September 2022
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	==== Section 1 ====		==== Section 1 ====
		⚫	# Find limits of the following sequences or prove that they do not exist:
		⚫	#* <math>a_n=n-\sqrt{n^2-70n+1400}</math>;
		⚫	#* <math display="inline">d_n=\left(\frac{2n-4}{2n+1}\right)^{n}</math>;
		⚫	#* <math display="inline">x_n=\frac{\left(2n^2+1\right)^6(n-1)^2}{\left(n^7+1000n^6-3\right)^2}</math>.
		+
		⚫	==== Section 2 ====
	# A plane curve is given by <math>x(t)=-\frac{t^2+4t+8}{t+2}</math>, <math display="inline">y(t)=\frac{t^2+9t+22}{t+6}</math>. Find		# A plane curve is given by <math>x(t)=-\frac{t^2+4t+8}{t+2}</math>, <math display="inline">y(t)=\frac{t^2+9t+22}{t+6}</math>. Find
	#: the asymptotes of this curve;		#: the asymptotes of this curve;
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	#* <math display="inline">y(x)</math> that is given implicitly by <math display="inline">x^3+5xy+y^3=0</math>.		#* <math display="inline">y(x)</math> that is given implicitly by <math display="inline">x^3+5xy+y^3=0</math>.

−	==== Section 2 ====	+	==== Section 3 ====
	# Find the following integrals:		# Find the following integrals:
	#*<math display="inline">\int\frac{\sqrt{4+x^2}+2\sqrt{4-x^2}}{\sqrt{16-x^4}}\,dx</math>;		#*<math display="inline">\int\frac{\sqrt{4+x^2}+2\sqrt{4-x^2}}{\sqrt{16-x^4}}\,dx</math>;
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	# Find the indefinite integral <math display="inline">\displaystyle\int x\ln\left(x+\sqrt{x^2-1}\right)\,dx</math>.		# Find the indefinite integral <math display="inline">\displaystyle\int x\ln\left(x+\sqrt{x^2-1}\right)\,dx</math>.
	# Find the length of a curve given by <math display="inline">y=\ln\sin x</math>, <math display="inline">\frac{\pi}4\leqslant x\leqslant\frac{\pi}2</math>.		# Find the length of a curve given by <math display="inline">y=\ln\sin x</math>, <math display="inline">\frac{\pi}4\leqslant x\leqslant\frac{\pi}2</math>.
−
⚫	==== Section 3 ====
⚫	# Find limits of the following sequences or prove that they do not exist:
⚫	#* <math>a_n=n-\sqrt{n^2-70n+1400}</math>;
⚫	#* <math display="inline">d_n=\left(\frac{2n-4}{2n+1}\right)^{n}</math>;
⚫	#* <math display="inline">x_n=\frac{\left(2n^2+1\right)^6(n-1)^2}{\left(n^7+1000n^6-3\right)^2}</math>.

	=== Final assessment ===		=== Final assessment ===

I.konyukhov: /* Course Topics */

2022-09-02T06:22:07Z

Course Topics

← Older revision		Revision as of 06:22, 2 September 2022
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	\|-		\|-
	! Section !! Topics within the section		! Section !! Topics within the section
		⚫	\|-
		⚫	\| Limits \|\|
		⚫	# Limits of Sequences
		⚫	# Newton's Method
		⚫	# Limits of Functions
	\|-		\|-
	\| Derivatives \|\|		\| Derivatives \|\|
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	# Inverse Functions and Differentiation		# Inverse Functions and Differentiation
	# Differentiation of the Trigonometric, Exponential and Logarithmic Functions		# Differentiation of the Trigonometric, Exponential and Logarithmic Functions
		⚫	# L'Hopital's Rule
	# Increasing and Decreasing Functions		# Increasing and Decreasing Functions
	# The Second Derivative and Concavity		# The Second Derivative and Concavity
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	# Parametric Curves		# Parametric Curves
	# Applications of the integrals		# Applications of the integrals
⚫	\|-
⚫	\| Limits \|\|
⚫	# Limits of Sequences
⚫	# Newton's Method
⚫	# Limits of Functions
⚫	# L'Hopital's Rule
	# Improper integrals		# Improper integrals
	\|}		\|}
		+
	== Intended Learning Outcomes (ILOs) ==		== Intended Learning Outcomes (ILOs) ==

I.konyukhov: /* Final assessment */

2022-06-28T08:13:28Z

Final assessment

← Older revision		Revision as of 08:13, 28 June 2022
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	=== Final assessment ===		=== Final assessment ===
−	~~'''~~Section 1~~'''~~	+	==== Section 1 ====
	# Apply the appropriate differentiation technique to a given problem.		# Apply the appropriate differentiation technique to a given problem.
	# Find a derivative of a function		# Find a derivative of a function
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	# Find asymptotes of a parametric function		# Find asymptotes of a parametric function

−	~~'''~~Section 2~~'''~~	+	==== Section 2 ====
	# Apply the appropriate integration technique to the given problem		# Apply the appropriate integration technique to the given problem
	# Find the value of the devinite integral		# Find the value of the devinite integral
	# Calculate the area of the domain or the length of the curve		# Calculate the area of the domain or the length of the curve

−	~~'''~~Section 3~~'''~~	+	==== Section 3 ====
	# Find a limit of a sequence		# Find a limit of a sequence
	# Find a limit of a function		# Find a limit of a function

I.konyukhov: /* Open access resources */

2022-06-23T21:04:03Z

Open access resources

← Older revision		Revision as of 21:04, 23 June 2022
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	=== Open access resources ===		=== Open access resources ===
−	* Jerrold E. Marsden and Alan Weinstein, Calculus I, II, and II. Springer-Verlag, Second Edition 1985	+	* Jerrold E. Marsden and Alan Weinstein, Calculus I, II, and II. Springer-Verlag, Second Edition 1985 [https://www.cds.caltech.edu/~marsden/volume/Calculus/ link]
	* Zorich, V. A. Mathematical Analysis I, Translator: Cooke R. (2004)		* Zorich, V. A. Mathematical Analysis I, Translator: Cooke R. (2004)

I.konyukhov: /* Resources, literature and reference materials */

2022-06-23T21:01:38Z

Resources, literature and reference materials

← Older revision		Revision as of 21:01, 23 June 2022
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	* Jerrold E. Marsden and Alan Weinstein, Calculus I, II, and II. Springer-Verlag, Second Edition 1985		* Jerrold E. Marsden and Alan Weinstein, Calculus I, II, and II. Springer-Verlag, Second Edition 1985
	* Zorich, V. A. Mathematical Analysis I, Translator: Cooke R. (2004)		* Zorich, V. A. Mathematical Analysis I, Translator: Cooke R. (2004)
−
−	=== Software and tools used within the course ===
−	* No.

	== Activities and Teaching Methods ==		== Activities and Teaching Methods ==

I.konyukhov: /* Activities and Teaching Methods */

2022-06-23T15:31:42Z

Activities and Teaching Methods

← Older revision		Revision as of 15:31, 23 June 2022
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	! Teaching Techniques !! Section 1 !! Section 2 !! Section 3		! Teaching Techniques !! Section 1 !! Section 2 !! Section 3
	\|-		\|-
−	\| Problem-based learning (students learn by solving open-ended problems without a strictly-defined solution) \|\| 0 \|\| 0 \|\| 0	+	\| Problem-based learning (students learn by solving open-ended problems without a strictly-defined solution) \|\| 1 \|\| 1 \|\| 1
	\|-		\|-
−	\| Project-based learning (students work on a project) \|\| 1 \|\| 1 \|\| 1	+	\| Project-based learning (students work on a project) \|\| 0 \|\| 0 \|\| 0
	\|-		\|-
	\| Modular learning (facilitated self-study) \|\| 0 \|\| 0 \|\| 0		\| Modular learning (facilitated self-study) \|\| 0 \|\| 0 \|\| 0
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	\| Flipped classroom \|\| 0 \|\| 0 \|\| 0		\| Flipped classroom \|\| 0 \|\| 0 \|\| 0
	\|-		\|-
−	\| Quizzes (written or computer based) \|\| 0 \|\| 0 \|\| 0	+	\| Quizzes (written or computer based) \|\| 1 \|\| 1 \|\| 1
	\|-		\|-
	\| Peer Review \|\| 0 \|\| 0 \|\| 0		\| Peer Review \|\| 0 \|\| 0 \|\| 0