In　the　context　of　rapid　social　development,　education　has　also　faced　many　challenges　in　the　market.　As　an　important　part　of　higher　education,　music　courses　have　important　value　and　effect　on　the　cultivation　of　students＇　healthy　psychological　quality.　Correct　and　effective　music　teaching　can　effectively　guide　students＇　music　theory　knowledge　and　aesthetic　awareness　and　promote　students＇　personal　future　development.　However,　the　learning　of　theoretical　knowledge　in　music　courses　is　often　abstract　and　boring.　In　the　actual　teaching　process,　problems　such　as　unsatisfactory　teaching　effect　of　teachers　and　low　learning　interest　and　enthusiasm　of　students　are　often　caused　by　the　single　teaching　mode.　Based　on　numerical　analysis　and　scientific　computing,　this　paper　studies　the　new　ideas　of　college　music　teaching　mode.　Under　the　guidance　of　scientific　educational　theory,　numerical　analysis　and　scientific　calculation　are　integrated　into　the　teaching　of　music　curriculum　theory,　and　abstract　music　theory　knowledge　is　concretized　to　guide　students　to　learn　knowledge　in　a　more　intuitive　way.　In　the　practice　of　college　music　teaching　mode　based　on　numerical　analysis　and　scientific　computing,　the　method　proposed　in　this　paper　can　effectively　improve　students＇　learning　effect　and　learning　enthusiasm.　And　through　the　questionnaire　survey,　it　is　found　that　more　than　80%　of　the　students　are　satisfied　with　this　teaching　mode,　and　62.5%　of　the　students　hope　to　continue　to　use　this　teaching　mode　in　the　learning　process.　It　is　feasible　to　apply　it　in　practical　teaching.