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MATH-510: Topology
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~~NOTOC~~ ====== MATH-510: Topology ====== <HTML> <img src="../images/Mug_and_Torus_morph.gif" alt="A ... - M.A. Armstrong, Basic Topology, Springer, 2010. ===== Questions, assignments and presentation =... s $\mathbb{N}$ open in $\tau$? * Is $A=\{\pm 100,\pm 101, \pm 102, ... \}$ open in $\tau$? * Is $E=\{0,\pm 2,\pm 4,...\}$ open in $\tau$? *
CHEM-501: Basic Mathematics for Chemist
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part_1_solutions:view_exercise_part_1&cp=1&p=8&ch=10&fp=Ex_10_2_FSC_part1|Solutions of Exercise 10.2 FSc-I]]** * **[[mdoku>fsc:fsc_part_1_solutions:view_exercise_part_1&cp=1&p=6&ch=10&fp=Ex_10_3_FSC_part1|Solutions of Exercise 10.3 F
MATH-300: Basic Mathematics for Chemist
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part_1_solutions:view_exercise_part_1&cp=1&p=8&ch=10&fp=Ex_10_2_FSC_part1|Solutions of Exercise 10.2 FSc-I]]** * **[[mdoku>fsc:fsc_part_1_solutions:view_exercise_part_1&cp=1&p=6&ch=10&fp=Ex_10_3_FSC_part1|Solutions of Exercise 10.3 F
MTH321: Real Analysis I (Fall 2021)
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1.09- Define least upper bound or supremum. * 1.10- Define greatest lower bound or infimum. * 1.11... {\frac{n+1}{n+2}\}$ is increasing sequence. * 2.10- Is the sequence $\{\frac{n+2}{n}\}$ is increasin... of functions by definition) * Seidel, Paul. 18.100C Real Analysis, Fall 2012. (MIT OpenCourseWare: ... ology), http://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012 (Accessed 29 Apr, 2014)
MTH251: Set Topology
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ets: * (i) $A=\mathbb{N}$ (ii) $B=\{1,2,3,...,100\}$ (iii) $C=[-1,1]$ * (iii) $D=(0,5]$ (iv) $E=\{1,2,3\}\cup[4,5]$ (vi) $F=(3,10)$ (vii) $G=\mathbb{Q}$ * Under the discrete top... ure of the following sets: * (i) $A=\{1,2,...,10\}$ (ii) $B=[0,1)$ (iii) $C=\mathbb{Q}$ * Define... aken from [2]**: Page 73-82: Problems 1, 3, 7, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 23, 25, 26,
MTH321: Real Analysis I (Spring 2023)
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</callout> =====Schedule===== * Tuesday, 0830-1000 * Wednesday, 0830-1000 ===== Notes, assignments, quizzes & handout ===== ====Notes==== Please do... of functions by definition) * Seidel, Paul. 18.100C Real Analysis, Fall 2012. (MIT OpenCourseWare: ... ology), http://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012 (Accessed 29 Apr, 2014)
MTH321: Real Analysis I (Spring 2020)
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{\frac{n+1}{n+2}\}$ is increasing sequence. * 2.10- Is the sequence $\{\frac{n+2}{n}\}$ is increasin... of functions by definition) * Seidel, Paul. 18.100C Real Analysis, Fall 2012. (MIT OpenCourseWare: ... ology), http://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012 (Accessed 29 Apr, 2014)
MTH321: Real Analysis 1
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iki/Cauchy_Condensation_Test * Seidel, Paul. 18.100C Real Analysis, Fall 2012. (MIT OpenCourseWare: ... ology), http://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012 (Accessed 29 Apr, 2014)
MTH321: Real Analysis I (Fall 2015)
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of functions by definition) * Seidel, Paul. 18.100C Real Analysis, Fall 2012. (MIT OpenCourseWare: ... ology), http://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012 (Accessed 29 Apr, 2014)
MTH321: Real Analysis I (Fall 2018)
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of functions by definition) * Seidel, Paul. 18.100C Real Analysis, Fall 2012. (MIT OpenCourseWare: ... ology), http://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012 (Accessed 29 Apr, 2014)
MTH321: Real Analysis I (Fall 2019)
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of functions by definition) * Seidel, Paul. 18.100C Real Analysis, Fall 2012. (MIT OpenCourseWare: ... ology), http://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012 (Accessed 29 Apr, 2014)
MTH321: Real Analysis I (Fall 2022)
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of functions by definition) * Seidel, Paul. 18.100C Real Analysis, Fall 2012. (MIT OpenCourseWare: ... ology), http://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012 (Accessed 29 Apr, 2014)
MTH321: Real Analysis 1
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iki/Cauchy_Condensation_Test * Seidel, Paul. 18.100C Real Analysis, Fall 2012. (MIT OpenCourseWare: ... ology), http://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012 (Accessed 29 Apr, 2014)
MTH321: Real Analysis 1 (Spring 2015)
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iki/Cauchy_Condensation_Test * Seidel, Paul. 18.100C Real Analysis, Fall 2012. (MIT OpenCourseWare: ... ology), http://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012 (Accessed 29 Apr, 2014)
MTH604: Fixed Point Theory and Applications (Spring 2020)
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nd $T:X\to X$ be a mapping defined by $T(x)=\frac{10}{11}\left(x+\frac{1}{x} \right)$ for all $x\in X$... ion mapping with Lipschitz constant $\alpha=\frac{10}{11}$. - Let $X=[0,1]$ be a metric space with u
MATH 102: Calculus II
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MTH211: Discrete Mathematics (Fall 2020)
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MTH424: Convex Analysis (Fall 2020)
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MTH480: Introductory Quantum Mechanics
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MATH 103: Number Theory
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MATH-505: Complex Analysis
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MATH-510: Topology
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MTH231: Linear Algebra
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MTH211: Discrete Mathematics (Spring 2020)
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MTH211: Discrete Mathematics (Fall 2020)
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MTH322: Real Analysis II (Spring 2023)
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