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Computer Science · Capella FlexPath

CSC-FPX4020: Algorithms and Data Structures

A specialization course in Capella's BS in Computer Science FlexPath program covering the design, implementation, and analysis of fundamental data structures and algorithms, from linked lists to graph traversal to NP-completeness.

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CSC-FPX4020 is one of the core technical pillars of the BSCS program. You will implement data structures (linked lists, stacks, queues, hash tables, trees, graphs), apply algorithmic strategies (sorting, searching, recursion, divide-and-conquer, greedy, dynamic programming), and perform formal complexity analysis. The assessments combine implementation with written analysis of run-time behavior and algorithmic trade-offs. This guide explains what each assessment area demands and how academic support for CSC-FPX4020 can help.

Course Overview

This course covers data encapsulation constructs including linked lists, stacks, queues, hashes, trees, and graphs. You will apply techniques for sorting and searching; recursive, divide-and-conquer, greedy, and heuristic solving; graph traversal; memoization; and dynamic programming algorithms. A significant component involves performing analysis of run-time complexity and understanding NP-completeness. The course requires both working implementations and formal analysis of algorithmic efficiency.

Common Assessment Focus Areas

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Common Challenges in This Course

Most students find dynamic programming the hardest topic because it requires identifying overlapping subproblems and optimal substructure, which is a different mode of thinking from straightforward iteration. Complexity analysis is another common weak spot: many students can implement an algorithm but cannot formally derive its Big-O bound with a recurrence relation. On graph problems, students often get BFS and DFS implementations working but struggle to adapt them for specific applications like topological sorting or cycle detection.

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CSC-FPX4020 FAQ

Do I need to implement data structures from scratch or can I use built-in libraries?

Most assessments require from-scratch implementations to demonstrate understanding. Using built-in library classes typically does not satisfy the competency requirements.

What programming language are the implementations in?

Check your course shell. Most sections use Java or Python, but the specific language requirement may vary.

How detailed does the Big-O analysis need to be?

Rubrics typically require step-by-step derivation showing how you arrived at the complexity bound, not just stating the final Big-O class.

Is NP-completeness tested with proofs?

At the undergraduate level, the focus is usually on understanding what NP-completeness means and its practical implications rather than formal reduction proofs.

How does this course relate to the capstone?

The algorithmic thinking and implementation skills from this course directly feed into CSC-FPX4900 and CSC-FPX4902, where you apply them to a real project.