MATH 152 — Mathematics II
BSc BSc Geomatic Engineering · Kwame Nkrumah University of Science and Technology
OUTLINE The Real Number System: Order In Real Numbers, Completeness of Real Numbers And Absolute Value of Real Numbers. Point Set: Intervals, Neighborhoods, Limit Point and Bounds and Weierstrass - Bolzano Theorem. Sequences: Limits of Sequences of Real Numbers, Theorems on Limits, Bounded Monotonic Sequences, Evaluations of Limit of Sequences. Functions : Definitions, Bounded and Monotonic Functions; Maxima and Minima; Types of Functions and Their Graphs, Odd, Even and Periodic Functions. Co- Ordinatę Geometry: Conic Sections in Rectangular Co-Ordinates-Parabola, Ellipse and Hyperbola, Parametric Equations of Conic Section, Plane Polar Co-Ordinate Polar Curves. Derivatives: Limits Of Functions and Continuity of Functions at A Point and In An Interval; Differentiability and Differentiation Various Functions and Their Applications; Series : Convergence of Series of Real Numbers, Tests Of Convergence, Series of Functions and Power Series, Convergence of Power Series. Integration : Definite Integrals, Definition of Riemann Sum, Techniques of Integration; Improper Integrals and their convergence. COURSE OBJECTIVE(S) The objective of the course is to equip students with a firm foundation and understand the basis of rigorous thought in the concepts of limit, continuity, derivative and integration, applied to functions of a single real variable. LEARNING OUTCOMES On completion of the Math 152 course the students should be able to: Understand the operations and order in real numbers, absolute values and solve quadratic inequalities. Distinguish between closed and open intervals on point sets, compute limit points and bounds of sequences/functions. Compute differentiation and integration of functions of single variables. Draw the connection between the various techniques discussed and its application in their chosen field of study. Mode of Delivery The mode of delivery of this course will be blended i.e., in person and online REQUIRED TEXTBOOKS/READINGS J.C. Burkill A First Course in Mathematical Analysis, Cambridge University Press 1978. D.J.H.Garling A Course in Mathematical Analysis (Vol 1), Cambridge University Press 2013. J.B. Reade Introduction to Mathematical Analysis. Oxford University Press Erwin Kreyszig (2002): Advanced Engineering Mathematics (Eighth Edition), John Wiley and Sons, Inc.
- Credits
- 4
- Level
- Year One
- Semester
- Semester Two
Other courses on this programme
- EE 152 — Basic Electronics
- ENGL 157 — Communication Skills I
- ENGL 158 — Communication Skills II
- GE 151 — Cartography I
- GE 152 — Cartography II
- GE 158 — Introduction To Information Technology
- GE 161 — Basic Survey Principles
- GE 162 — Large Scale Surveying
- GE 171 — Applied Optics
- MATH 151 — Mathematics I
- ME 159 — Technical Drawing
- ME 161 — Basic Mechanics
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